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8311993056 = 2532173594729
BaseRepresentation
bin1111011110110111…
…01111001011100000
3210110021110222220200
413233123233023200
5114010332234211
63452442505200
7412656526623
oct75733571340
923407428820
108311993056
1135859a3454
12173b805200
13a2607c9b3
1458bcbddba
15339ac7b56
hex1ef6ef2e0

8311993056 has 144 divisors (see below), whose sum is σ = 25102677600. Its totient is φ = 2599870464.

The previous prime is 8311993037. The next prime is 8311993097. The reversal of 8311993056 is 6503991138.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755300 + ... + 1760028.

It is an arithmetic number, because the mean of its divisors is an integer number (174324150).

Almost surely, 28311993056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8311993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551338800).

8311993056 is an abundant number, since it is smaller than the sum of its proper divisors (16790684544).

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

8311993056 is a wasteful number, since it uses less digits than its factorization.

8311993056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 8311993056 is about 91170.1324776925. The cubic root of 8311993056 is about 2025.6685741181.

The spelling of 8311993056 in words is "eight billion, three hundred eleven million, nine hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 359 408 544 612 718 816 1077 1224 1436 1632 2154 2448 2872 3231 4308 4729 4896 5744 6103 6462 8616 9458 11488 12206 12924 14187 17232 18309 18916 24412 25848 28374 34464 36618 37832 42561 48824 51696 54927 56748 73236 75664 80393 85122 97648 103392 109854 113496 146472 151328 160786 170244 195296 219708 226992 241179 292944 321572 340488 439416 453984 482358 585888 643144 680976 723537 878832 964716 1286288 1361952 1447074 1697711 1757664 1929432 2572576 2894148 3395422 3858864 5093133 5788296 6790844 7717728 10186266 11576592 13581688 15279399 20372532 23153184 27163376 28861087 30558798 40745064 54326752 57722174 61117596 81490128 86583261 115444348 122235192 162980256 173166522 230888696 244470384 259749783 346333044 461777392 488940768 519499566 692666088 923554784 1038999132 1385332176 2077998264 2770664352 4155996528 8311993056