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57589766766 = 2327213792
BaseRepresentation
bin110101101000100111…
…100001101001101110
312111122112022021022200
4311220213201221232
51420420440014031
642242324322330
74106061640440
oct655047415156
9174575267280
1057589766766
1122472a16174
12b1b28433a6
13557a2ca78c
142b0472c490
151770d598e6
hexd689e1a6e

57589766766 has 36 divisors (see below), whose sum is σ = 142609902552. Its totient is φ = 16453449432.

The previous prime is 57589766753. The next prime is 57589766849. The reversal of 57589766766 is 66766798575.

It is a junction number, because it is equal to n+sod(n) for n = 57589766694 and 57589766703.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2683065 + ... + 2704443.

It is an arithmetic number, because the mean of its divisors is an integer number (3961386182).

Almost surely, 257589766766 is an apocalyptic number.

57589766766 is an abundant number, since it is smaller than the sum of its proper divisors (85020135786).

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

57589766766 is an frugal number, since it uses more digits than its factorization.

57589766766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42773 (or 21391 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 57589766766 in words is "fifty-seven billion, five hundred eighty-nine million, seven hundred sixty-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 21379 42758 64137 128274 149653 192411 299306 384822 448959 897918 1346877 2693754 457061641 914123282 1371184923 2742369846 3199431487 4113554769 6398862974 8227109538 9598294461 19196588922 28794883383 57589766766