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57041788440 = 2335713171092819
BaseRepresentation
bin110101000111111101…
…001001111000011000
312110020100012002101010
4311013331021320120
51413310144212230
642112111253520
74056356126130
oct650775117030
9173210162333
1057041788440
1122211669a1a
12b07b21a2a0
1354c0917550
142a91a47ac0
15173cbb59b0
hexd47f49e18

57041788440 has 512 divisors, whose sum is σ = 225130752000. Its totient is φ = 11219337216.

The previous prime is 57041788393. The next prime is 57041788451. The reversal of 57041788440 is 4488714075.

It is a self number, because there is not a number n which added to its sum of digits gives 57041788440.

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 127 ways as a sum of consecutive naturals, for example, 20233351 + ... + 20236169.

It is an arithmetic number, because the mean of its divisors is an integer number (439708500).

Almost surely, 257041788440 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 57041788440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112565376000).

57041788440 is an abundant number, since it is smaller than the sum of its proper divisors (168088963560).

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

57041788440 is a wasteful number, since it uses less digits than its factorization.

57041788440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 57041788440 in words is "fifty-seven billion, forty-one million, seven hundred eighty-eight thousand, four hundred forty".