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57369502976 = 2822724349
BaseRepresentation
bin110101011011011111…
…010010010100000000
312111002011211201012112
4311123133102110000
51414443043043401
642204415314452
74100445505112
oct653337222400
9174064751175
1057369502976
112236a652785
12b150b1ba28
135543799c86
142ac33933b2
15175b84b3bb
hexd5b7d2500

57369502976 has 54 divisors (see below), whose sum is σ = 115048047450. Its totient is φ = 28551820288.

The previous prime is 57369502951. The next prime is 57369502987. The reversal of 57369502976 is 67920596375.

It can be written as a sum of positive squares in only one way, i.e., 32978560000 + 24390942976 = 181600^2 + 156176^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13189250 + ... + 13193598.

Almost surely, 257369502976 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 57369502976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57524023725).

57369502976 is an abundant number, since it is smaller than the sum of its proper divisors (57678544474).

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

57369502976 is an frugal number, since it uses more digits than its factorization.

57369502976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 59.

The spelling of 57369502976 in words is "fifty-seven billion, three hundred sixty-nine million, five hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 908 1816 3632 4349 7264 8698 14528 17396 29056 34792 51529 58112 69584 103058 139168 206116 278336 412232 556672 824464 987223 1113344 1648928 1974446 3297856 3948892 6595712 7897784 13191424 15795568 31591136 63182272 126364544 224099621 252729088 448199242 896398484 1792796968 3585593936 7171187872 14342375744 28684751488 57369502976