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13794032704 = 265322772
BaseRepresentation
bin11001101100011000…
…00011110001000000
31022121022220110120011
430312030003301000
5211222233021304
610200433554304
7665554225534
oct146614036100
938538813504
1013794032704
11593940aa31
12280b715994
1313baa4573a
1494bdbdbc4
1555aeeac04
hex336303c40

13794032704 has 63 divisors (see below), whose sum is σ = 27999822207. Its totient is φ = 6742454784.

The previous prime is 13794032687. The next prime is 13794032767. The reversal of 13794032704 is 40723049731.

The square root of 13794032704 is 117448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 13567590400 = 15048^2 + 116480^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 49797814 + ... + 49798090.

Almost surely, 213794032704 is an apocalyptic number.

13794032704 is the 117448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13794032704

13794032704 is an abundant number, since it is smaller than the sum of its proper divisors (14205789503).

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

13794032704 is an frugal number, since it uses more digits than its factorization.

13794032704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 13794032704 in words is "thirteen billion, seven hundred ninety-four million, thirty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 212 277 424 554 848 1108 1696 2216 2809 3392 4432 5618 8864 11236 14681 17728 22472 29362 44944 58724 76729 89888 117448 153458 179776 234896 306916 469792 613832 778093 939584 1227664 1556186 2455328 3112372 4066637 4910656 6224744 8133274 12449488 16266548 24898976 32533096 49797952 65066192 130132384 215531761 260264768 431063522 862127044 1724254088 3448508176 6897016352 13794032704