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139899680474400 = 2533527112191273169
BaseRepresentation
bin11111110011110011101110…
…110000100100010100100000
3200100100021112021100121122000
4133303303232300210110200
5121314104021200140100
61213313005335244000
741316263333266050
oct3763635660442440
9610307467317560
10139899680474400
11406381374a5900
12138355b3b19600
13600a638957972
142679275a53560
1511291a21d7900
hex7f3ceec24520

139899680474400 has 3456 divisors, whose sum is σ = 674532827136000. Its totient is φ = 27314587238400.

The previous prime is 139899680474371. The next prime is 139899680474417. The reversal of 139899680474400 is 4474086998931.

139899680474400 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 99 + 68 + 0 + 4 + 74 + 400 = 666.

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 575 ways as a sum of consecutive naturals, for example, 44146316016 + ... + 44146319184.

Almost surely, 2139899680474400 is an apocalyptic number.

139899680474400 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 139899680474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337266413568000).

139899680474400 is an abundant number, since it is smaller than the sum of its proper divisors (534633146661600).

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

139899680474400 is a wasteful number, since it uses less digits than its factorization.

139899680474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 139899680474400 in words is "one hundred thirty-nine trillion, eight hundred ninety-nine billion, six hundred eighty million, four hundred seventy-four thousand, four hundred".