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3137864268 = 22371131109547
BaseRepresentation
bin1011101100001000…
…0000001001001100
322002200110000120010
42323002000021030
522411243124033
61235211153220
7140521256220
oct27302001114
98080400503
103137864268
111370273960
12736a45810
133b0124726
1421aa52780
15135727863
hexbb08024c

3137864268 has 96 divisors (see below), whose sum is σ = 9422880768. Its totient is φ = 788731200.

The previous prime is 3137864251. The next prime is 3137864273. The reversal of 3137864268 is 8624687313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26130 + ... + 83417.

It is an arithmetic number, because the mean of its divisors is an integer number (98155008).

Almost surely, 23137864268 is an apocalyptic number.

It is an amenable number.

3137864268 is an abundant number, since it is smaller than the sum of its proper divisors (6285016500).

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

3137864268 is a wasteful number, since it uses less digits than its factorization.

3137864268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109603 (or 109601 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 3137864268 is about 56016.6427769462. The cubic root of 3137864268 is about 1464.0122744499.

The spelling of 3137864268 in words is "three billion, one hundred thirty-seven million, eight hundred sixty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 7161 9548 14322 28644 109547 219094 328641 438188 657282 766829 1205017 1314564 1533658 2300487 2410034 3067316 3395957 3615051 4600974 4820068 6791914 7230102 8435119 9201948 10187871 13583828 14460204 16870238 20375742 23771699 25305357 33740476 37355527 40751484 47543398 50610714 71315097 74711054 95086796 101221428 112066581 142630194 149422108 224133162 261488689 285260388 448266324 522977378 784466067 1045954756 1568932134 3137864268