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139355177920 = 2657313773743
BaseRepresentation
bin1000000111001000110…
…1110100001111000000
3111022200220100112010221
42001302031310033000
54240344411143140
6144004025032424
713032231316360
oct2016215641700
9438626315127
10139355177920
1154111401832
1223011925714
13101ab101a7a
146a5db389a0
1539592ed14a
hex20723743c0

139355177920 has 448 divisors, whose sum is σ = 408115593216. Its totient is φ = 44312002560.

The previous prime is 139355177903. The next prime is 139355177921. The reversal of 139355177920 is 29771553931.

139355177920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1393551779202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139355177921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187557069 + ... + 187557811.

Almost surely, 2139355177920 is an apocalyptic number.

139355177920 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 139355177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204057796608).

139355177920 is an abundant number, since it is smaller than the sum of its proper divisors (268760415296).

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

139355177920 is a wasteful number, since it uses less digits than its factorization.

139355177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 52.

The spelling of 139355177920 in words is "one hundred thirty-nine billion, three hundred fifty-five million, one hundred seventy-seven thousand, nine hundred twenty".