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139585588128 = 25327264315383
BaseRepresentation
bin1000000111111111110…
…0110000101110100000
3111100021221220120112100
42001333330300232200
54241332402310003
6144042535330400
713041026631300
oct2017774605640
9440257816470
10139585588128
115421a475398
1223076b20a00
1310216a7597c
146a82595600
15396e662ba3
hex207ff30ba0

139585588128 has 216 divisors, whose sum is σ = 462502299168. Its totient is φ = 39816983808.

The previous prime is 139585588127. The next prime is 139585588139. The reversal of 139585588128 is 821885585931.

139585588128 is a `hidden beast` number, since 1 + 3 + 9 + 58 + 558 + 8 + 1 + 28 = 666.

139585588128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (139585588127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9066325 + ... + 9081707.

It is an arithmetic number, because the mean of its divisors is an integer number (2141214348).

Almost surely, 2139585588128 is an apocalyptic number.

139585588128 is a gapful number since it is divisible by the number (18) 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 139585588128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231251149584).

139585588128 is an abundant number, since it is smaller than the sum of its proper divisors (322916711040).

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

139585588128 is a wasteful number, since it uses less digits than its factorization.

139585588128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16056 (or 16038 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 63.

The spelling of 139585588128 in words is "one hundred thirty-nine billion, five hundred eighty-five million, five hundred eighty-eight thousand, one hundred twenty-eight".