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57369924040 = 235111341435689
BaseRepresentation
bin110101011011100000…
…111001000111001000
312111002012122002210111
4311123200321013020
51414443200032130
642204432324104
74100452210522
oct653340710710
9174065562714
1057369924040
112236a910070
12b1510a3634
1355438b6820
142ac3462a12
15175b8d102a
hexd5b8391c8

57369924040 has 256 divisors, whose sum is σ = 158988614400. Its totient is φ = 18347212800.

The previous prime is 57369923903. The next prime is 57369924049. The reversal of 57369924040 is 4042996375.

It is not an unprimeable number, because it can be changed into a prime (57369924049) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10081516 + ... + 10087204.

It is an arithmetic number, because the mean of its divisors is an integer number (621049275).

Almost surely, 257369924040 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 57369924040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79494307200).

57369924040 is an abundant number, since it is smaller than the sum of its proper divisors (101618690360).

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

57369924040 is a wasteful number, since it uses less digits than its factorization.

57369924040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 57369924040 in words is "fifty-seven billion, three hundred sixty-nine million, nine hundred twenty-four thousand, forty".