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139640868576 = 2532112310971747
BaseRepresentation
bin1000001000001100111…
…1101000111011100000
3111100102210221010001100
42002003033220323200
54241441030243301
6144052232234400
713042300540626
oct2020317507340
9440383833040
10139640868576
11542486a2410
122309153ba00
131022535c6b1
146a89a65516
153974432286
hex20833e8ee0

139640868576 has 288 divisors, whose sum is σ = 452710073088. Its totient is φ = 40415569920.

The previous prime is 139640868533. The next prime is 139640868583. The reversal of 139640868576 is 675868046931.

139640868576 is a `hidden beast` number, since 13 + 9 + 6 + 40 + 8 + 6 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79930935 + ... + 79932681.

It is an arithmetic number, because the mean of its divisors is an integer number (1571909976).

Almost surely, 2139640868576 is an apocalyptic number.

139640868576 is a gapful number since it is divisible by the number (16) 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 139640868576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226355036544).

139640868576 is an abundant number, since it is smaller than the sum of its proper divisors (313069204512).

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

139640868576 is a wasteful number, since it uses less digits than its factorization.

139640868576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 139640868576 in words is "one hundred thirty-nine billion, six hundred forty million, eight hundred sixty-eight thousand, five hundred seventy-six".