Search a number
-
+
256531040135652 = 223191607184389683
BaseRepresentation
bin111010010101000001001001…
…100001010110100111100100
31020122022010110021000212002210
4322111001021201112213210
5232111001032233320102
62305332422151003420
7105014520214161012
oct7225011141264744
91218263407025083
10256531040135652
1174814226451657
1224931526369570
13b01aa08ba5189
14474c2508838b2
151e9ce638a236c
hexe950498569e4

256531040135652 has 48 divisors (see below), whose sum is σ = 602697596239872. Its totient is φ = 84922511941920.

The previous prime is 256531040135563. The next prime is 256531040135659.

256531040135652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2565310401356522 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256531040135659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90803598 + ... + 93586085.

It is an arithmetic number, because the mean of its divisors is an integer number (12556199921664).

Almost surely, 2256531040135652 is an apocalyptic number.

It is an amenable number.

256531040135652 is an abundant number, since it is smaller than the sum of its proper divisors (346166556104220).

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

256531040135652 is a wasteful number, since it uses less digits than its factorization.

256531040135652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184390488 (or 184390486 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 256531040135652 in words is "two hundred fifty-six trillion, five hundred thirty-one billion, forty million, one hundred thirty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 191 382 573 607 764 1146 1214 1821 2292 2428 3642 7284 115937 231874 347811 463748 695622 1391244 184389683 368779366 553169049 737558732 1106338098 2212676196 35218429453 70436858906 105655288359 111924537581 140873717812 211310576718 223849075162 335773612743 422621153436 447698150324 671547225486 1343094450972 21377586677971 42755173355942 64132760033913 85510346711884 128265520067826 256531040135652