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139290638760 = 23325713113191197
BaseRepresentation
bin1000000110111001011…
…1100111100110101000
3111022112101220121001200
42001232113213212220
54240231400420020
6143553401444200
713030515615510
oct2015627474650
9438471817050
10139290638760
1154088a30589
1222bb41a0660
131019a925a10
146a55338840
153953800590
hex206e5e79a8

139290638760 has 768 divisors, whose sum is σ = 567904296960. Its totient is φ = 28829122560.

The previous prime is 139290638743. The next prime is 139290638827. The reversal of 139290638760 is 67836092931.

139290638760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 139290638697 and 139290638706.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 707058982 + ... + 707059178.

It is an arithmetic number, because the mean of its divisors is an integer number (739458720).

Almost surely, 2139290638760 is an apocalyptic number.

139290638760 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 139290638760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283952148480).

139290638760 is an abundant number, since it is smaller than the sum of its proper divisors (428613658200).

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

139290638760 is a wasteful number, since it uses less digits than its factorization.

139290638760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 139290638760 in words is "one hundred thirty-nine billion, two hundred ninety million, six hundred thirty-eight thousand, seven hundred sixty".