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139332263616 = 263373133107
BaseRepresentation
bin1000000111000011011…
…0011001111011000000
3111022122022020100122000
42001300312121323000
54240323024413431
6144001445544000
713031532462000
oct2016066317300
9438568210560
10139332263616
11540aa480997
1223006115000
13101a643b000
146a5aa92000
1539572c39e6
hex2070d99ec0

139332263616 has 896 divisors, whose sum is σ = 522305280000. Its totient is φ = 36403540992.

The previous prime is 139332263599. The next prime is 139332263657. The reversal of 139332263616 is 616362233931.

139332263616 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 3 + 2 + 2 + 636 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1302170635 + ... + 1302170741.

It is an arithmetic number, because the mean of its divisors is an integer number (582930000).

Almost surely, 2139332263616 is an apocalyptic number.

139332263616 is a gapful number since it is divisible by the number (16) 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 139332263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261152640000).

139332263616 is an abundant number, since it is smaller than the sum of its proper divisors (382973016384).

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

139332263616 is an equidigital number, since it uses as much as digits as its factorization.

139332263616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 132 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The spelling of 139332263616 in words is "one hundred thirty-nine billion, three hundred thirty-two million, two hundred sixty-three thousand, six hundred sixteen".