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139757698080 = 2538572111319
BaseRepresentation
bin1000001000101000110…
…1010011110000100000
3111100201221202200000000
42002022031103300200
54242210432314310
6144112004300000
713045216555500
oct2021215236040
9440657680000
10139757698080
11542a8639120
12231046a1600
1310243616490
146a9b397a00
15397e80d4c0
hex208a353c20

139757698080 has 2592 divisors, whose sum is σ = 712434864960. Its totient is φ = 25395793920.

The previous prime is 139757698079. The next prime is 139757698117. The reversal of 139757698080 is 80896757931.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a junction number, because it is equal to n+sod(n) for n = 139757697999 and 139757698017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7355668311 + ... + 7355668329.

It is an arithmetic number, because the mean of its divisors is an integer number (274859130).

Almost surely, 2139757698080 is an apocalyptic number.

139757698080 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 139757698080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356217432480).

139757698080 is an abundant number, since it is smaller than the sum of its proper divisors (572677166880).

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

139757698080 is a wasteful number, since it uses less digits than its factorization.

139757698080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 139757698080 in words is "one hundred thirty-nine billion, seven hundred fifty-seven million, six hundred ninety-eight thousand, eighty".