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139708670400 = 26355213131211
BaseRepresentation
bin1000001000011101001…
…0010010000111000000
3111100121112111210200000
42002013102102013000
54242110404423100
6144103053400000
713044053050605
oct2020722220700
9440545453600
10139708670400
11542829a1982
12230b0199000
131023640b810
146a94a746ac
15397a376900
hex20874921c0

139708670400 has 1008 divisors, whose sum is σ = 561441648768. Its totient is φ = 33965568000.

The previous prime is 139708670383. The next prime is 139708670401. The reversal of 139708670400 is 4076807931.

139708670400 is a `hidden beast` number, since 1 + 39 + 70 + 86 + 70 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139708670401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 662126295 + ... + 662126505.

Almost surely, 2139708670400 is an apocalyptic number.

139708670400 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 139708670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280720824384).

139708670400 is an abundant number, since it is smaller than the sum of its proper divisors (421732978368).

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

139708670400 is a wasteful number, since it uses less digits than its factorization.

139708670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 139708670400 in words is "one hundred thirty-nine billion, seven hundred eight million, six hundred seventy thousand, four hundred".