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57463007352 = 23319238961561
BaseRepresentation
bin110101100001000011…
…111110100001111000
312111022200210020002120
4311201003332201320
51420141012213402
642221555401240
74102662334452
oct654103764170
9174280706076
1057463007352
1122408407a23
12b1782b3220
135559c77cca
142ad19732d2
151764b6b3bc
hexd610fe878

57463007352 has 128 divisors (see below), whose sum is σ = 159568704000. Its totient is φ = 17161943040.

The previous prime is 57463007339. The next prime is 57463007353. The reversal of 57463007352 is 25370036475.

57463007352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57463007353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902652 + ... + 964212.

It is an arithmetic number, because the mean of its divisors is an integer number (1246630500).

Almost surely, 257463007352 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 57463007352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79784352000).

57463007352 is an abundant number, since it is smaller than the sum of its proper divisors (102105696648).

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

57463007352 is a wasteful number, since it uses less digits than its factorization.

57463007352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61701 (or 61697 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 57463007352 in words is "fifty-seven billion, four hundred sixty-three million, seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 89 92 114 138 152 178 184 228 267 276 356 437 456 534 552 712 874 1068 1311 1691 1748 2047 2136 2622 3382 3496 4094 5073 5244 6141 6764 8188 10146 10488 12282 13528 16376 20292 24564 38893 40584 49128 61561 77786 116679 123122 155572 184683 233358 246244 311144 369366 466716 492488 738732 933432 1169659 1415903 1477464 2339318 2831806 3508977 4247709 4678636 5478929 5663612 7017954 8495418 9357272 10957858 11327224 14035908 16436787 16990836 21915716 26902157 28071816 32873574 33981672 43831432 53804314 65747148 80706471 104099651 107608628 126015367 131494296 161412942 208199302 215217256 252030734 312298953 322825884 378046101 416398604 504061468 624597906 645651768 756092202 832797208 1008122936 1249195812 1512184404 2394291973 2498391624 3024368808 4788583946 7182875919 9577167892 14365751838 19154335784 28731503676 57463007352