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1313993472 = 28311155539
BaseRepresentation
bin100111001010001…
…1111001100000000
310101120111210011220
41032110133030000
510142340242342
6334215235040
744363521521
oct11624371400
93346453156
101313993472
11614795820
12308078a80
1317c2c743c
14c6724848
157a5565ec
hex4e51f300

1313993472 has 72 divisors (see below), whose sum is σ = 3815085120. Its totient is φ = 398177280.

The previous prime is 1313993467. The next prime is 1313993479. The reversal of 1313993472 is 2743993131.

It is a super-2 number, since 2×13139934722 = 3453157688917229568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313993479) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69322 + ... + 86217.

Almost surely, 21313993472 is an apocalyptic number.

1313993472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313993472 is an abundant number, since it is smaller than the sum of its proper divisors (2501091648).

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

1313993472 is a wasteful number, since it uses less digits than its factorization.

1313993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155569 (or 155555 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 1313993472 is about 36249.0478771512. The cubic root of 1313993472 is about 1095.2949094119.

The spelling of 1313993472 in words is "one billion, three hundred thirteen million, nine hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 155539 311078 466617 622156 933234 1244312 1710929 1866468 2488624 3421858 3732936 4977248 5132787 6843716 7465872 9954496 10265574 13687432 14931744 19908992 20531148 27374864 29863488 39817984 41062296 54749728 59726976 82124592 109499456 119453952 164249184 218998912 328498368 437997824 656996736 1313993472