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57663452160 = 21032531371091
BaseRepresentation
bin110101101101000000…
…100111010000000000
312111211122221212200100
4311231000213100000
51421043320432120
642253515522400
74110645153606
oct655500472000
9174748855610
1057663452160
1122500574096
12b213459400
13558c6598c2
142b1042d876
151777562490
hexd6d027400

57663452160 has 528 divisors, whose sum is σ = 212016010752. Its totient is φ = 14465433600.

The previous prime is 57663452159. The next prime is 57663452201. The reversal of 57663452160 is 6125436675.

57663452160 is a `hidden beast` number, since 5 + 7 + 6 + 63 + 4 + 521 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52853215 + ... + 52854305.

Almost surely, 257663452160 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 57663452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106008005376).

57663452160 is an abundant number, since it is smaller than the sum of its proper divisors (154352558592).

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

57663452160 is a wasteful number, since it uses less digits than its factorization.

57663452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 57663452160 in words is "fifty-seven billion, six hundred sixty-three million, four hundred fifty-two thousand, one hundred sixty".