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57516617730 = 235111323593983
BaseRepresentation
bin110101100100010000…
…011111000000000010
312111110102122220201010
4311210100133000002
51420243223231410
642231152421350
74104213120105
oct654420370002
9174412586633
1057516617730
11224356a4220
12b192247856
1355680c8820
142ad8b2a73c
15176970ac20
hexd6441f002

57516617730 has 256 divisors, whose sum is σ = 169681526784. Its totient is φ = 12277985280.

The previous prime is 57516617713. The next prime is 57516617731. The reversal of 57516617730 is 3771661575.

It is a happy number.

It is a super-2 number, since 2×575166177302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57516617730.

It is not an unprimeable number, because it can be changed into a prime (57516617731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58510819 + ... + 58511801.

It is an arithmetic number, because the mean of its divisors is an integer number (662818464).

Almost surely, 257516617730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57516617730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84840763392).

57516617730 is an abundant number, since it is smaller than the sum of its proper divisors (112164909054).

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

57516617730 is a wasteful number, since it uses less digits than its factorization.

57516617730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633.

The product of its (nonzero) digits is 926100, while the sum is 48.

The spelling of 57516617730 in words is "fifty-seven billion, five hundred sixteen million, six hundred seventeen thousand, seven hundred thirty".