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57505940976 = 24311552119727
BaseRepresentation
bin110101100011100111…
…110000010111110000
312111102200120110221210
4311203213300113300
51420233010102401
642230131520120
74104023301411
oct654347602760
9174380513853
1057505940976
112242a671660
12b18a759040
135565b2ac13
142ad754b808
1517687ec4d6
hexd639f05f0

57505940976 has 80 divisors (see below), whose sum is σ = 162099767808. Its totient is φ = 17422003200.

The previous prime is 57505940971. The next prime is 57505941011. The reversal of 57505940976 is 67904950575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57505940971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2905225 + ... + 2924951.

Almost surely, 257505940976 is an apocalyptic number.

It is an amenable number.

57505940976 is an abundant number, since it is smaller than the sum of its proper divisors (104593826832).

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

57505940976 is a wasteful number, since it uses less digits than its factorization.

57505940976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25270 (or 25264 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 57.

The spelling of 57505940976 in words is "fifty-seven billion, five hundred five million, nine hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 5521 11042 16563 19727 22084 33126 39454 44168 59181 60731 66252 78908 88336 118362 121462 132504 157816 182193 216997 236724 242924 265008 315632 364386 433994 473448 485848 650991 728772 867988 946896 971696 1301982 1457544 1735976 2603964 2915088 3471952 5207928 10415856 108912767 217825534 326738301 435651068 653476602 871302136 1198040437 1306953204 1742604272 2396080874 2613906408 3594121311 4792161748 5227812816 7188242622 9584323496 14376485244 19168646992 28752970488 57505940976