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104070639456 = 2533770124547
BaseRepresentation
bin110000011101100010…
…1111110111101100000
3100221121212021020211000
41200323011332331200
53201114040430311
6115450454552000
710342652561010
oct1407305767540
9327555236730
10104070639456
1140155187843
1218205068600
139a76c64a44
145073921c40
152a917b5056
hex183b17ef60

104070639456 has 192 divisors, whose sum is σ = 347411151360. Its totient is φ = 29690841600.

The previous prime is 104070639443. The next prime is 104070639479. The reversal of 104070639456 is 654936070401.

104070639456 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 0 + 639 + 4 + 5 + 6 = 666.

104070639456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4227375 + ... + 4251921.

It is an arithmetic number, because the mean of its divisors is an integer number (1809433080).

Almost surely, 2104070639456 is an apocalyptic number.

104070639456 is a gapful number since it is divisible by the number (16) 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 104070639456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173705575680).

104070639456 is an abundant number, since it is smaller than the sum of its proper divisors (243340511904).

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

104070639456 is a wasteful number, since it uses less digits than its factorization.

104070639456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25274 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 104070639456 in words is "one hundred four billion, seventy million, six hundred thirty-nine thousand, four hundred fifty-six".