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50113831680 = 283551197151
BaseRepresentation
bin101110101011000001…
…000110001100000000
311210100112000102100000
4232223001012030000
51310113120103210
635004425200000
73422603353353
oct565301061400
9153315012300
1050113831680
111a286a51520
129867030000
134958517153
1425d58c229a
15148487cac0
hexbab046300

50113831680 has 864 divisors, whose sum is σ = 199491522048. Its totient is φ = 11943936000.

The previous prime is 50113831637. The next prime is 50113831693. The reversal of 50113831680 is 8613831105.

50113831680 is a `hidden beast` number, since 501 + 13 + 83 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×501138316802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 331879605 + ... + 331879755.

Almost surely, 250113831680 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 50113831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99745761024).

50113831680 is an abundant number, since it is smaller than the sum of its proper divisors (149377690368).

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

50113831680 is a wasteful number, since it uses less digits than its factorization.

50113831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 50113831680 in words is "fifty billion, one hundred thirteen million, eight hundred thirty-one thousand, six hundred eighty".