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57230829936 = 24347171919531
BaseRepresentation
bin110101010011001110…
…010010100101110000
312110201111220101120000
4311103032102211300
51414202043024221
642142543150000
74064143012410
oct652316224560
9173644811500
1057230829936
11222a9347665
12b1125a5300
135520b35917
142aacbb6640
15174e5a7e26
hexd53392970

57230829936 has 400 divisors, whose sum is σ = 211001852160. Its totient is φ = 14579066880.

The previous prime is 57230829913. The next prime is 57230829973. The reversal of 57230829936 is 63992803275.

It is a happy number.

57230829936 is a `hidden beast` number, since 572 + 30 + 8 + 2 + 9 + 9 + 36 = 666.

It is a super-3 number, since 3×572308299363 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2920491 + ... + 2940021.

Almost surely, 257230829936 is an apocalyptic number.

57230829936 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 57230829936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105500926080).

57230829936 is an abundant number, since it is smaller than the sum of its proper divisors (153771022224).

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

57230829936 is a wasteful number, since it uses less digits than its factorization.

57230829936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19594 (or 19579 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 57230829936 in words is "fifty-seven billion, two hundred thirty million, eight hundred twenty-nine thousand, nine hundred thirty-six".