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57138021088 = 25172273371373
BaseRepresentation
bin110101001101101100…
…010000001011100000
312110111001021012202021
4311031230100023200
51414004313133323
642125430031224
74061635110601
oct651554201340
9173431235667
1057138021088
1122260a17a35
12b0a74a8514
13550783c345
142aa0737da8
15174637405d
hexd4db102e0

57138021088 has 96 divisors (see below), whose sum is σ = 120074651424. Its totient is φ = 26671153152.

The previous prime is 57138021077. The next prime is 57138021103. The reversal of 57138021088 is 88012083175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41614770 + ... + 41616142.

It is an arithmetic number, because the mean of its divisors is an integer number (1250777619).

Almost surely, 257138021088 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 57138021088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60037325712).

57138021088 is an abundant number, since it is smaller than the sum of its proper divisors (62936630336).

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

57138021088 is a wasteful number, since it uses less digits than its factorization.

57138021088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 57138021088 in words is "fifty-seven billion, one hundred thirty-eight million, twenty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 227 272 337 454 544 674 908 1348 1373 1816 2696 2746 3632 3859 5392 5492 5729 7264 7718 10784 10984 11458 15436 21968 22916 23341 30872 43936 45832 46682 61744 76499 91664 93364 123488 152998 183328 186728 305996 311671 373456 462701 611992 623342 746912 925402 1223984 1246684 1300483 1850804 2447968 2493368 2600966 3701608 4986736 5201932 5298407 7403216 7865917 9973472 10403864 10596814 14806432 15731834 20807728 21193628 31463668 41615456 42387256 62927336 84774512 105033127 125854672 169549024 210066254 251709344 420132508 840265016 1680530032 1785563159 3361060064 3571126318 7142252636 14284505272 28569010544 57138021088