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245075797876 = 2271319187918859
BaseRepresentation
bin1110010000111110100…
…1111110011101110100
3212102120202100110200211
43210033221332131310
513003403401013001
6304330344515204
723464130624230
oct3441751763564
9772522313624
10245075797876
1194a32998318
123b5b747bb04
131a158b4bb20
14bc0c8415c0
156595886351
hex390fa7e774

245075797876 has 96 divisors (see below), whose sum is σ = 555962624000. Its totient is φ = 91796519808.

The previous prime is 245075797847. The next prime is 245075797877. The reversal of 245075797876 is 678797570542.

245075797876 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2450757978762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245075797877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12985735 + ... + 13004593.

Almost surely, 2245075797876 is an apocalyptic number.

245075797876 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245075797876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277981312000).

245075797876 is an abundant number, since it is smaller than the sum of its proper divisors (310886826124).

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

245075797876 is a wasteful number, since it uses less digits than its factorization.

245075797876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20781 (or 20779 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 67.

The spelling of 245075797876 in words is "two hundred forty-five billion, seventy-five million, seven hundred ninety-seven thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 1879 3458 3758 6916 7516 13153 18859 24427 26306 35701 37718 48854 52612 71402 75436 97708 132013 142804 170989 245167 249907 264026 341978 358321 464113 490334 499814 528052 683956 716642 928226 980668 999628 1433284 1716169 1856452 2508247 3248791 3432338 4658173 5016494 6497582 6864676 9316346 10032988 12995164 18632692 32607211 35436061 65214422 70872122 130428844 141744244 248052427 460668793 496104854 673285159 921337586 992209708 1346570318 1842675172 2693140636 3224681551 4712996113 6449363102 8752707067 9425992226 12898726204 17505414134 18851984452 35010828268 61268949469 122537898938 245075797876