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116139451680 = 253257196011009
BaseRepresentation
bin110110000101001110…
…0110110010100100000
3102002202221212102210100
41230022130312110200
53400323144423210
6125204223302400
711251021023330
oct1541234662440
9362687772710
10116139451680
114528876901a
121a612a4aa00
13ac4b440555
14589a7330c0
15304b0c95c0
hex1b0a736520

116139451680 has 576 divisors, whose sum is σ = 478049644800. Its totient is φ = 25082265600.

The previous prime is 116139451679. The next prime is 116139451693. The reversal of 116139451680 is 86154931611.

116139451680 is a `hidden beast` number, since 1 + 1 + 6 + 139 + 451 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115103016 + ... + 115104024.

It is an arithmetic number, because the mean of its divisors is an integer number (829947300).

Almost surely, 2116139451680 is an apocalyptic number.

116139451680 is a gapful number since it is divisible by the number (10) 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 116139451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239024822400).

116139451680 is an abundant number, since it is smaller than the sum of its proper divisors (361910193120).

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

116139451680 is a wasteful number, since it uses less digits than its factorization.

116139451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 116139451680 in words is "one hundred sixteen billion, one hundred thirty-nine million, four hundred fifty-one thousand, six hundred eighty".