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1312973768 = 232325572
BaseRepresentation
bin100111001000010…
…0110001111001000
310101111120222102002
41032100212033020
510142110130033
6334141330132
744352043601
oct11620461710
93344528362
101312973768
11614159697
12307866948
1317c02b272
14c653ada8
157a4043e8
hex4e4263c8

1312973768 has 36 divisors (see below), whose sum is σ = 2578144065. Its totient is φ = 626816608.

The previous prime is 1312973743. The next prime is 1312973773. The reversal of 1312973768 is 8673792131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1027971844 + 285001924 = 32062^2 + 16882^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25622.

It is a super-2 number, since 2×13129737682 = 3447800230912235648, which contains 22 as substring.

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, 2356946 + ... + 2357502.

Almost surely, 21312973768 is an apocalyptic number.

It is an amenable number.

1312973768 is a deficient number, since it is larger than the sum of its proper divisors (1265170297).

1312973768 is an frugal number, since it uses more digits than its factorization.

1312973768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 582 counting only the distinct ones).

The product of its digits is 381024, while the sum is 47.

The square root of 1312973768 is about 36234.9798951234. The cubic root of 1312973768 is about 1095.0115072844.

The spelling of 1312973768 in words is "one billion, three hundred twelve million, nine hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 23 46 92 184 529 557 1058 1114 2116 2228 4232 4456 12811 25622 51244 102488 294653 310249 589306 620498 1178612 1240996 2357224 2481992 7135727 14271454 28542908 57085816 164121721 328243442 656486884 1312973768