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56613044315664 = 24321723126243593
BaseRepresentation
bin11001101111101010000000…
…11001010110011000010000
321102110011011101201202122200
430313311000121112120100
524410022003321100124
6320223401251403200
714632105004556204
oct1467650031263020
9242404141652580
1056613044315664
1117047503687501
126423ba1bb3500
132578783029c45
14dda12bc60b04
1568297dc1cbc9
hex337d40656610

56613044315664 has 60 divisors (see below), whose sum is σ = 167757771030876. Its totient is φ = 17760955078656.

The previous prime is 56613044315629. The next prime is 56613044315683. The reversal of 56613044315664 is 46651344031665.

It is a happy number.

56613044315664 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 3 + 0 + 44 + 31 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26785717442064 + 29827326873600 = 5175492^2 + 5461440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56613044315664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11563119349 + ... + 11563124244.

Almost surely, 256613044315664 is an apocalyptic number.

It is an amenable number.

56613044315664 is an abundant number, since it is smaller than the sum of its proper divisors (111144726715212).

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

56613044315664 is a wasteful number, since it uses less digits than its factorization.

56613044315664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23126243624 (or 23126243615 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 56613044315664 in words is "fifty-six trillion, six hundred thirteen billion, forty-four million, three hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 23126243593 46252487186 69378730779 92504974372 138757461558 185009948744 208136192337 277514923116 370019897488 393146141081 416272384674 555029846232 786292282162 832544769348 1110059692464 1179438423243 1572584564324 1665089538696 2358876846486 3145169128648 3330179077392 3538315269729 4717753692972 6290338257296 7076630539458 9435507385944 14153261078916 18871014771888 28306522157832 56613044315664