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139364076960 = 2535517279157
BaseRepresentation
bin1000000111001010111…
…1110000110110100000
3111022201112002122100000
42001302233300312200
54240404200430320
6144004543500000
713032400052163
oct2016257606640
9438645078300
10139364076960
115411642a809
12230148b7600
13101acbc9484
146a60db3ada
153959ea9c90
hex2072bf0da0

139364076960 has 864 divisors, whose sum is σ = 533923004160. Its totient is φ = 34314928128.

The previous prime is 139364076953. The next prime is 139364076967. The reversal of 139364076960 is 69670463931.

It is an interprime number because it is at equal distance from previous prime (139364076953) and next prime (139364076967).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 139364076897 and 139364076906.

It is not an unprimeable number, because it can be changed into a prime (139364076967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 887669202 + ... + 887669358.

It is an arithmetic number, because the mean of its divisors is an integer number (617966440).

Almost surely, 2139364076960 is an apocalyptic number.

139364076960 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 139364076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266961502080).

139364076960 is an abundant number, since it is smaller than the sum of its proper divisors (394558927200).

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

139364076960 is a wasteful number, since it uses less digits than its factorization.

139364076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 139364076960 in words is "one hundred thirty-nine billion, three hundred sixty-four million, seventy-six thousand, nine hundred sixty".