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139937061888 = 2103413267149
BaseRepresentation
bin1000001001010011100…
…1100001110000000000
3111101012110021021220000
42002110321201300000
54243042341440023
6144141452520000
713052525254161
oct2022471416000
9441173237800
10139937061888
115438a906878
1223154780000
1310271826900
146ab7127768
15399043d243
hex2094e61c00

139937061888 has 660 divisors, whose sum is σ = 462332554200. Its totient is φ = 42130243584.

The previous prime is 139937061881. The next prime is 139937061893. The reversal of 139937061888 is 888160739931.

139937061888 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 3 + 7 + 0 + 618 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139937061881) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 939174838 + ... + 939174986.

It is an arithmetic number, because the mean of its divisors is an integer number (700503870).

Almost surely, 2139937061888 is an apocalyptic number.

139937061888 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 139937061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231166277100).

139937061888 is an abundant number, since it is smaller than the sum of its proper divisors (322395492312).

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

139937061888 is a wasteful number, since it uses less digits than its factorization.

139937061888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 139937061888 in words is "one hundred thirty-nine billion, nine hundred thirty-seven million, sixty-one thousand, eight hundred eighty-eight".