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57465353568 = 2537372311187
BaseRepresentation
bin110101100001001100…
…111011010101100000
312111022212012102111110
4311201030323111200
51420142112303233
642222121543320
74103021305650
oct654114732540
9174285172443
1057465353568
112240976a747
12b179044b40
13555a5b9bbc
142ad1dc4360
151764e81663
hexd6133b560

57465353568 has 96 divisors (see below), whose sum is σ = 177055490304. Its totient is φ = 15974917632.

The previous prime is 57465353557. The next prime is 57465353587. The reversal of 57465353568 is 86535356475.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1130730 + ... + 1180457.

It is an arithmetic number, because the mean of its divisors is an integer number (1844328024).

Almost surely, 257465353568 is an apocalyptic number.

It is an amenable number.

57465353568 is an abundant number, since it is smaller than the sum of its proper divisors (119590136736).

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

57465353568 is a wasteful number, since it uses less digits than its factorization.

57465353568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311244 (or 2311236 counting only the distinct ones).

The product of its digits is 45360000, while the sum is 57.

The spelling of 57465353568 in words is "fifty-seven billion, four hundred sixty-five million, three hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 2311187 4622374 6933561 9244748 13867122 16178309 18489496 27734244 32356618 36978992 48534927 55468488 64713236 73957984 85513919 97069854 110936976 129426472 171027838 194139708 221873952 256541757 258852944 342055676 388279416 513083514 517705888 598597433 684111352 776558832 1026167028 1197194866 1368222704 1553117664 1795792299 2052334056 2394389732 2736445408 3591584598 4104668112 4788779464 7183169196 8209336224 9577558928 14366338392 19155117856 28732676784 57465353568