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57566298972 = 223721322389283
BaseRepresentation
bin110101100111001110…
…000000001101011100
312111120220010222120010
4311213032000031130
51420343433031342
642240125323220
74105355316300
oct654716001534
9174526128503
1057566298972
11224607474a6
12b1a6a06510
1355754a1b00
142b0157dd00
15176dc7129c
hexd6738035c

57566298972 has 432 divisors, whose sum is σ = 179166193920. Its totient is φ = 14308310016.

The previous prime is 57566298967. The next prime is 57566299001. The reversal of 57566298972 is 27989266575.

Its product of digits (114307200) is a multiple of the sum of its prime divisors (420).

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 143 ways as a sum of consecutive naturals, for example, 203414343 + ... + 203414625.

It is an arithmetic number, because the mean of its divisors is an integer number (414736560).

Almost surely, 257566298972 is an apocalyptic number.

57566298972 is a gapful number since it is divisible by the number (52) 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 57566298972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89583096960).

57566298972 is an abundant number, since it is smaller than the sum of its proper divisors (121599894948).

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

57566298972 is a wasteful number, since it uses less digits than its factorization.

57566298972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 420 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 66.

The spelling of 57566298972 in words is "fifty-seven billion, five hundred sixty-six million, two hundred ninety-eight thousand, nine hundred seventy-two".