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139856957856 = 25337114348889
BaseRepresentation
bin1000001001000000011…
…1111101000110100000
3111100222212112120211000
42002100013331012200
54242411340122411
6144125511552000
713050533345550
oct2022007750640
9440885476730
10139856957856
11543496744a0
122313198b600
131025b05b085
146aaa635160
1539883b8956
hex20901fd1a0

139856957856 has 384 divisors, whose sum is σ = 520408627200. Its totient is φ = 35480954880.

The previous prime is 139856957783. The next prime is 139856957879. The reversal of 139856957856 is 658759658931.

It is a happy number.

139856957856 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 569 + 5 + 7 + 8 + 56 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2836260 + ... + 2885148.

It is an arithmetic number, because the mean of its divisors is an integer number (1355230800).

Almost surely, 2139856957856 is an apocalyptic number.

139856957856 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 139856957856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260204313600).

139856957856 is an abundant number, since it is smaller than the sum of its proper divisors (380551669344).

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

139856957856 is a wasteful number, since it uses less digits than its factorization.

139856957856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48969 (or 48955 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 139856957856 in words is "one hundred thirty-nine billion, eight hundred fifty-six million, nine hundred fifty-seven thousand, eight hundred fifty-six".