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139732931520 = 263557313231
BaseRepresentation
bin1000001000100010111…
…0110101001111000000
3111100200020011101200000
42002020232311033000
54242133112302040
6144105321400000
713044466215000
oct2021056651700
9440606141600
10139732931520
1154295662696
12230b8339000
131023b454600
146a97d8c000
15397c56a130
hex2088bb53c0

139732931520 has 2016 divisors, whose sum is σ = 649706803200. Its totient is φ = 28531077120.

The previous prime is 139732931501. The next prime is 139732931549. The reversal of 139732931520 is 25139237931.

139732931520 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 32 + 93 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4507513905 + ... + 4507513935.

It is an arithmetic number, because the mean of its divisors is an integer number (322275200).

Almost surely, 2139732931520 is an apocalyptic number.

139732931520 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 139732931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324853401600).

139732931520 is an abundant number, since it is smaller than the sum of its proper divisors (509973871680).

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

139732931520 is an equidigital number, since it uses as much as digits as its factorization.

139732931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 139732931520 in words is "one hundred thirty-nine billion, seven hundred thirty-two million, nine hundred thirty-one thousand, five hundred twenty".