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11551975968 = 2531323339727
BaseRepresentation
bin10101100001000110…
…10010101000100000
31002211002002011220210
422300203102220200
5142124301212333
65150142534120
7556161114141
oct126043225040
932732064823
1011551975968
114998875585
1222a4897340
1311213aa350
147b8315ac8
15479272a63
hex2b08d2a20

11551975968 has 96 divisors (see below), whose sum is σ = 32797529856. Its totient is φ = 3539109888.

The previous prime is 11551975957. The next prime is 11551975991. The reversal of 11551975968 is 86957915511.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270921 + ... + 310647.

It is an arithmetic number, because the mean of its divisors is an integer number (341640936).

Almost surely, 211551975968 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 11551975968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398764928).

11551975968 is an abundant number, since it is smaller than the sum of its proper divisors (21245553888).

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

11551975968 is a wasteful number, since it uses less digits than its factorization.

11551975968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39986 (or 39978 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 57.

The spelling of 11551975968 in words is "eleven billion, five hundred fifty-one million, nine hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 233 312 416 466 624 699 932 1248 1398 1864 2796 3029 3728 5592 6058 7456 9087 11184 12116 18174 22368 24232 36348 39727 48464 72696 79454 96928 119181 145392 158908 238362 290784 317816 476724 516451 635632 953448 1032902 1271264 1549353 1906896 2065804 3098706 3813792 4131608 6197412 8263216 9256391 12394824 16526432 18512782 24789648 27769173 37025564 49579296 55538346 74051128 111076692 120333083 148102256 222153384 240666166 296204512 360999249 444306768 481332332 721998498 888613536 962664664 1443996996 1925329328 2887993992 3850658656 5775987984 11551975968