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57050600500656 = 2433740946798773
BaseRepresentation
bin11001111100011001000001…
…10001101110110110110000
321110222222120102220000012000
430332030200301232312300
524434204112212010111
6321200403431134000
715005525031020010
oct1476144061566660
9243888512800160
1057050600500656
11171a6029749514
126494956814300
1325aab05330a49
141013399c07c40
1568e03c7bec56
hex33e320c6edb0

57050600500656 has 320 divisors, whose sum is σ = 188011330790400. Its totient is φ = 16225334913024.

The previous prime is 57050600500633. The next prime is 57050600500667. The reversal of 57050600500656 is 65600500605075.

57050600500656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577543686 + ... + 577642458.

It is an arithmetic number, because the mean of its divisors is an integer number (587535408720).

Almost surely, 257050600500656 is an apocalyptic number.

57050600500656 is a gapful number since it is divisible by the number (56) 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 57050600500656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94005665395200).

57050600500656 is an abundant number, since it is smaller than the sum of its proper divisors (130960730289744).

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

57050600500656 is a wasteful number, since it uses less digits than its factorization.

57050600500656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99673 (or 99661 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 57050600500656 in words is "fifty-seven trillion, fifty billion, six hundred million, five hundred thousand, six hundred fifty-six".