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100832394144 = 2531050337439
BaseRepresentation
bin101110111101000010…
…1000011101110100000
3100122021011221100100110
41131322011003232200
53123001043103034
6114153300051320
710166502131406
oct1357205035640
9318234840313
10100832394144
1139843292149
1217660693b40
13967c0c5261
144c4781d476
15295235ede9
hex177a143ba0

100832394144 has 24 divisors (see below), whose sum is σ = 264685034880. Its totient is φ = 33610798016.

The previous prime is 100832394127. The next prime is 100832394181. The reversal of 100832394144 is 441493238001.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 525168624 + ... + 525168815.

It is an arithmetic number, because the mean of its divisors is an integer number (11028543120).

Almost surely, 2100832394144 is an apocalyptic number.

It is an amenable number.

100832394144 is an abundant number, since it is smaller than the sum of its proper divisors (163852640736).

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

100832394144 is a wasteful number, since it uses less digits than its factorization.

100832394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050337452 (or 1050337444 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 100832394144 in words is "one hundred billion, eight hundred thirty-two million, three hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1050337439 2100674878 3151012317 4201349756 6302024634 8402699512 12604049268 16805399024 25208098536 33610798048 50416197072 100832394144