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243650052540 = 22345233645499
BaseRepresentation
bin1110001011101010101…
…1001100000110111100
3212021220101120002210000
43202322223030012330
512442443403140130
6303533054114300
723413606163256
oct3427253140674
9767811502700
10243650052540
1194371114794
123b279aab990
1319c8c657b2b
14bb1534acd6
156510608260
hex38baacc1bc

243650052540 has 120 divisors (see below), whose sum is σ = 767620854000. Its totient is φ = 64694391552.

The previous prime is 243650052539. The next prime is 243650052623. The reversal of 243650052540 is 45250056342.

243650052540 is a `hidden beast` number, since 2 + 4 + 3 + 65 + 0 + 0 + 52 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243650052495 and 243650052504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54711 + ... + 700209.

It is an arithmetic number, because the mean of its divisors is an integer number (6396840450).

Almost surely, 2243650052540 is an apocalyptic number.

243650052540 is a gapful number since it is divisible by the number (20) 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 243650052540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383810427000).

243650052540 is an abundant number, since it is smaller than the sum of its proper divisors (523970801460).

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

243650052540 is a wasteful number, since it uses less digits than its factorization.

243650052540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645753 (or 645742 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 243650052540 in words is "two hundred forty-three billion, six hundred fifty million, fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 233 270 324 405 466 540 699 810 932 1165 1398 1620 2097 2330 2796 3495 4194 4660 6291 6990 8388 10485 12582 13980 18873 20970 25164 31455 37746 41940 62910 75492 94365 125820 188730 377460 645499 1290998 1936497 2581996 3227495 3872994 5809491 6454990 7745988 9682485 11618982 12909980 17428473 19364970 23237964 29047455 34856946 38729940 52285419 58094910 69713892 87142365 104570838 116189820 150401267 174284730 209141676 261427095 300802534 348569460 451203801 522854190 601605068 752006335 902407602 1045708380 1353611403 1504012670 1804815204 2256019005 2707222806 3008025340 4060834209 4512038010 5414445612 6768057015 8121668418 9024076020 12182502627 13536114030 16243336836 20304171045 24365005254 27072228060 40608342090 48730010508 60912513135 81216684180 121825026270 243650052540