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139898072160 = 25335711420569
BaseRepresentation
bin1000001001001010010…
…0110010110001100000
3111101002201220102001000
42002102210302301200
54243002401302120
6144133541112000
713051542664410
oct2022244626140
9441081812030
10139898072160
115436a8a6260
12231436b8600
1310266724b72
146ab1c98640
15398bcda990
hex2092932c60

139898072160 has 384 divisors, whose sum is σ = 610465766400. Its totient is φ = 29069660160.

The previous prime is 139898072117. The next prime is 139898072173. The reversal of 139898072160 is 61270898931.

139898072160 is a `hidden beast` number, since 1 + 398 + 98 + 0 + 7 + 2 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 139898072097 and 139898072106.

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 63 ways as a sum of consecutive naturals, for example, 122356 + ... + 542924.

It is an arithmetic number, because the mean of its divisors is an integer number (1589754600).

Almost surely, 2139898072160 is an apocalyptic number.

139898072160 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 139898072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305232883200).

139898072160 is an abundant number, since it is smaller than the sum of its proper divisors (470567694240).

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

139898072160 is a wasteful number, since it uses less digits than its factorization.

139898072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420611 (or 420597 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 139898072160 in words is "one hundred thirty-nine billion, eight hundred ninety-eight million, seventy-two thousand, one hundred sixty".