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256631211617274 = 2321310501104439061
BaseRepresentation
bin111010010110011110011100…
…001101001110101111111010
31020122122201000101100100220200
4322112132130031032233322
5232114121210133223044
62305450430121303030
7105024664442545644
oct7226363415165772
91218581011310820
10256631211617274
117485275a6613aa
1224948a21634a76
13b0272b1095420
1447530345c1894
151ea0877bb1369
hexe9679c34ebfa

256631211617274 has 48 divisors (see below), whose sum is σ = 598863189901704. Its totient is φ = 78955929360000.

The previous prime is 256631211617273. The next prime is 256631211617311. The reversal of 256631211617274 is 472716112136652.

256631211617274 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 3 + 1 + 2 + 11 + 617 + 2 + 7 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 209762879475249 + 46868332142025 = 14483193^2 + 6846045^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 256631211617274.

It is not an unprimeable number, because it can be changed into a prime (256631211617273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49762297 + ... + 54676764.

Almost surely, 2256631211617274 is an apocalyptic number.

256631211617274 is an abundant number, since it is smaller than the sum of its proper divisors (342231978284430).

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

256631211617274 is a wasteful number, since it uses less digits than its factorization.

256631211617274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104449583 (or 104449580 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 256631211617274 in words is "two hundred fifty-six trillion, six hundred thirty-one billion, two hundred eleven million, six hundred seventeen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 10501 21002 31503 63006 94509 136513 189018 273026 409539 819078 1228617 2457234 104439061 208878122 313317183 626634366 939951549 1357707793 1879903098 2715415586 4073123379 8146246758 12219370137 24438740274 1096714579561 2193429159122 3290143738683 6580287477366 9870431216049 14257289534293 19740862432098 28514579068586 42771868602879 85543737205758 128315605808637 256631211617274