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139375969920 = 27335112191349
BaseRepresentation
bin1000000111001101110…
…1001000011010000000
3111022202100110212102000
42001303131020122000
54240420222014140
6144010050424000
713032603124425
oct2016335103200
9438670425360
10139375969920
1154122113100
1223018892000
13101b2501825
146a627cbd4c
15395b058a30
hex2073748680

139375969920 has 768 divisors, whose sum is σ = 546981120000. Its totient is φ = 33514905600.

The previous prime is 139375969913. The next prime is 139375969981. The reversal of 139375969920 is 29969573931.

139375969920 is a `hidden beast` number, since 1 + 3 + 9 + 37 + 596 + 9 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1393759699202 (a number of 23 digits) contains 22 as substring.

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, 399357906 + ... + 399358254.

It is an arithmetic number, because the mean of its divisors is an integer number (712215000).

Almost surely, 2139375969920 is an apocalyptic number.

139375969920 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 139375969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273490560000).

139375969920 is an abundant number, since it is smaller than the sum of its proper divisors (407605150080).

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

139375969920 is a wasteful number, since it uses less digits than its factorization.

139375969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 63.

The spelling of 139375969920 in words is "one hundred thirty-nine billion, three hundred seventy-five million, nine hundred sixty-nine thousand, nine hundred twenty".