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57914730432 = 263513286457
BaseRepresentation
bin110101111011111111…
…001010011111000000
312112111011210010200000
4311323333022133000
51422102132333212
642334453400000
74120116041406
oct657377123700
9175434703600
1057914730432
112261a3a0189
12b283639000
1355cc729080
142b3595d476
15178e64a1dc
hexd7bfca7c0

57914730432 has 168 divisors, whose sum is σ = 185393325936. Its totient is φ = 17819854848.

The previous prime is 57914730427. The next prime is 57914730451. The reversal of 57914730432 is 23403741975.

57914730432 is a `hidden beast` number, since 5 + 79 + 147 + 3 + 0 + 432 = 666.

It is a super-2 number, since 2×579147304322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58948 + ... + 345404.

It is an arithmetic number, because the mean of its divisors is an integer number (1103531702).

Almost surely, 257914730432 is an apocalyptic number.

57914730432 is a gapful number since it is divisible by the number (52) 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 57914730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92696662968).

57914730432 is an abundant number, since it is smaller than the sum of its proper divisors (127478595504).

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

57914730432 is a wasteful number, since it uses less digits than its factorization.

57914730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286497 (or 286475 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 57914730432 in words is "fifty-seven billion, nine hundred fourteen million, seven hundred thirty thousand, four hundred thirty-two".