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139587844968 = 233511131729537
BaseRepresentation
bin1000001000000000010…
…1010111101101101000
3111100022010011020100000
42002000011113231220
54241333442014333
6144043055543000
713041055051065
oct2020005275550
9440263136300
10139587844968
1154220776a50
122307782aa60
1310217385c90
146a829c1c6c
15396e95b713
hex2080157b68

139587844968 has 384 divisors, whose sum is σ = 487703099520. Its totient is φ = 36747509760.

The previous prime is 139587844933. The next prime is 139587844969. The reversal of 139587844968 is 869448785931.

139587844968 is a `hidden beast` number, since 1 + 3 + 9 + 58 + 7 + 84 + 496 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 139587844896 and 139587844905.

It is not an unprimeable number, because it can be changed into a prime (139587844969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4711096 + ... + 4740632.

It is an arithmetic number, because the mean of its divisors is an integer number (1270060155).

Almost surely, 2139587844968 is an apocalyptic number.

139587844968 is a gapful number since it is divisible by the number (18) 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 139587844968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243851549760).

139587844968 is an abundant number, since it is smaller than the sum of its proper divisors (348115254552).

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

139587844968 is a wasteful number, since it uses less digits than its factorization.

139587844968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29599 (or 29583 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 139587844968 in words is "one hundred thirty-nine billion, five hundred eighty-seven million, eight hundred forty-four thousand, nine hundred sixty-eight".