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57376720764 = 223311175327551
BaseRepresentation
bin110101011011111010…
…110100011101111100
312111002200102102011000
4311123322310131330
51420001420031024
642205234130300
74100564036166
oct653372643574
9174080372130
1057376720764
11223737325a0
12b153420990
13554512635c
142ac4311936
15175c2c4cc9
hexd5beb477c

57376720764 has 96 divisors (see below), whose sum is σ = 162376058880. Its totient is φ = 17376336000.

The previous prime is 57376720741. The next prime is 57376720799. The reversal of 57376720764 is 46702767375.

57376720764 is a `hidden beast` number, since 5 + 7 + 376 + 7 + 207 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57376720764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068789 + ... + 2096339.

It is an arithmetic number, because the mean of its divisors is an integer number (1691417280).

Almost surely, 257376720764 is an apocalyptic number.

57376720764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57376720764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81188029440).

57376720764 is an abundant number, since it is smaller than the sum of its proper divisors (104999338116).

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

57376720764 is a wasteful number, since it uses less digits than its factorization.

57376720764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29328 (or 29320 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 54.

The spelling of 57376720764 in words is "fifty-seven billion, three hundred seventy-six million, seven hundred twenty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1753 3506 5259 7012 10518 15777 19283 21036 27551 31554 38566 47331 55102 57849 63108 77132 82653 94662 110204 115698 165306 173547 189324 231396 247959 303061 330612 347094 495918 520641 606122 694188 743877 909183 991836 1041282 1212244 1487754 1818366 2082564 2727549 2975508 3636732 5455098 8182647 10910196 16365294 32730588 48296903 96593806 144890709 193187612 289781418 434672127 531265933 579562836 869344254 1062531866 1304016381 1593797799 1738688508 2125063732 2608032762 3187595598 4781393397 5216065524 6375191196 9562786794 14344180191 19125573588 28688360382 57376720764