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245518996076442 = 232112298741444701
BaseRepresentation
bin110111110100110001011000…
…100010111111011110011010
31012012022101102222100120120100
4313310301120202333132122
5224140040400443421232
62230101511505240230
7102500106413115204
oct6764613042773632
91165271388316510
10245518996076442
1171259026688800
1223653287033076
13a6cc45a46128a
14448b27b901774
151d5b7a4b72c7c
hexdf4c588bf79a

245518996076442 has 144 divisors (see below), whose sum is σ = 604947083799240. Its totient is φ = 71825809440000.

The previous prime is 245518996076437. The next prime is 245518996076449. The reversal of 245518996076442 is 244670699815542.

Added to its reverse (244670699815542) it gives a square (490189695891984 = 221402282).

245518996076442 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 1 + 8 + 9 + 9 + 607 + 6 + 4 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210938704065441 + 34580292011001 = 14523729^2 + 5880501^2 .

245518996076442 is a rare number.

It is not an unprimeable number, because it can be changed into a prime (245518996076449) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 551876692 + ... + 552321392.

Almost surely, 2245518996076442 is an apocalyptic number.

245518996076442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 245518996076442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302473541899620).

245518996076442 is an abundant number, since it is smaller than the sum of its proper divisors (359428087722798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245518996076442 is a wasteful number, since it uses less digits than its factorization.

245518996076442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453501 (or 453487 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

Adding to 245518996076442 its reverse (244670699815542), we get a square (490189695891984 = 221402282).

Subtracting from 245518996076442 its reverse (244670699815542), we obtain a square (848296260900 = 9210302).

The spelling of 245518996076442 in words is "two hundred forty-five trillion, five hundred eighteen billion, nine hundred ninety-six million, seventy-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1914 2178 2871 3509 5742 7018 8741 10527 17482 21054 26223 31581 52446 63162 78669 96151 157338 192302 253489 288453 444701 506978 576906 760467 865359 889402 1057661 1334103 1520934 1730718 2115322 2281401 2668206 2788379 3172983 4002309 4562802 4891711 5576758 6345966 8004618 8365137 9518949 9783422 12896329 14675133 16730274 19037898 25095411 25792658 29350266 30672169 38688987 44025399 50190822 53808821 61344338 77377974 88050798 92016507 107617642 116066961 141859619 161426463 184033014 232133922 276049521 283719238 322852926 425578857 484279389 552099042 851157714 968558778 1276736571 1560455809 2553473142 3120911618 3887131441 4681367427 7774262882 9362734854 11661394323 14044102281 23322788646 28088204562 34984182969 42758445851 69968365938 85516891702 112726811789 128275337553 225453623578 256550675106 338180435367 384826012659 470342904361 676360870734 769652025318 940685808722 1014541306101 1239994929679 1411028713083 2029082612202 2479989859358 2822057426166 3719984789037 4233086139249 7439969578074 8466172278498 11159954367111 13639944226469 22319908734222 27279888452938 40919832679407 81839665358814 122759498038221 245518996076442