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57388834692 = 2235723147827
BaseRepresentation
bin110101011100101001…
…000001111110000100
312111010112012212100000
4311130221001332010
51420013020202232
642210345521300
74101102021600
oct653451017604
9174115185300
1057388834692
112237a556a02
12b1574a3230
1355477a8167
142ac5b86500
15175d3b927c
hexd5ca41f84

57388834692 has 432 divisors, whose sum is σ = 184712306688. Its totient is φ = 15511487040.

The previous prime is 57388834691. The next prime is 57388834747. The reversal of 57388834692 is 29643888375.

57388834692 is a `hidden beast` number, since 57 + 388 + 83 + 46 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57388834691) 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 143 ways as a sum of consecutive naturals, for example, 69393583 + ... + 69394409.

It is an arithmetic number, because the mean of its divisors is an integer number (427574784).

Almost surely, 257388834692 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 57388834692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92356153344).

57388834692 is an abundant number, since it is smaller than the sum of its proper divisors (127323471996).

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

57388834692 is a wasteful number, since it uses less digits than its factorization.

57388834692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 917 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 57388834692 in words is "fifty-seven billion, three hundred eighty-eight million, eight hundred thirty-four thousand, six hundred ninety-two".