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3137113864 = 2319233283313
BaseRepresentation
bin1011101011111100…
…1000111100001000
322002122000220012101
42322333020330020
522411100120424
61235143123144
7140512012363
oct27277107410
98078026171
103137113864
11136a901095
127367434b4
133acc20cc1
1421a8d90da
1513562a344
hexbafc8f08

3137113864 has 64 divisors (see below), whose sum is σ = 6260155200. Its totient is φ = 1469684736.

The previous prime is 3137113843. The next prime is 3137113867. The reversal of 3137113864 is 4683117313.

It is a super-3 number, since 3×31371138643 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3137113867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10022572 + ... + 10022884.

It is an arithmetic number, because the mean of its divisors is an integer number (97814925).

Almost surely, 23137113864 is an apocalyptic number.

It is an amenable number.

3137113864 is a deficient number, since it is larger than the sum of its proper divisors (3123041336).

3137113864 is a wasteful number, since it uses less digits than its factorization.

3137113864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 850 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 3137113864 is about 56009.9443313417. The cubic root of 3137113864 is about 1463.8955614928.

The spelling of 3137113864 in words is "three billion, one hundred thirty-seven million, one hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 19 38 76 152 233 283 313 466 566 626 932 1132 1252 1864 2264 2504 4427 5377 5947 8854 10754 11894 17708 21508 23788 35416 43016 47576 65939 72929 88579 131878 145858 177158 263756 291716 354316 527512 583432 708632 1252841 1385651 1683001 2505682 2771302 3366002 5011364 5542604 6732004 10022728 11085208 13464008 20638907 41277814 82555628 165111256 392139233 784278466 1568556932 3137113864