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57059319008 = 2547145926003
BaseRepresentation
bin110101001001000000…
…000001110011100000
312110021120011201210102
4311021000001303200
51413324141202013
642113535121532
74056661131506
oct651100016340
9173246151712
1057059319008
112222055299a
12b0850732a8
1354c4444973
142a940cc676
15173e4c9d58
hexd49001ce0

57059319008 has 48 divisors (see below), whose sum is σ = 114808700160. Its totient is φ = 27902434176.

The previous prime is 57059318999. The next prime is 57059319017. The reversal of 57059319008 is 80091395075.

It is an interprime number because it is at equal distance from previous prime (57059318999) and next prime (57059319017).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2181335 + ... + 2207337.

It is an arithmetic number, because the mean of its divisors is an integer number (2391847920).

Almost surely, 257059319008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57059319008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57404350080).

57059319008 is an abundant number, since it is smaller than the sum of its proper divisors (57749381152).

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

57059319008 is a wasteful number, since it uses less digits than its factorization.

57059319008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27519 (or 27511 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 47.

The spelling of 57059319008 in words is "fifty-seven billion, fifty-nine million, three hundred nineteen thousand, eight".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1459 1504 2918 5836 11672 23344 26003 46688 52006 68573 104012 137146 208024 274292 416048 548584 832096 1097168 1222141 2194336 2444282 4888564 9777128 19554256 37938377 39108512 75876754 151753508 303507016 607014032 1214028064 1783103719 3566207438 7132414876 14264829752 28529659504 57059319008