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11500797984 = 2531323339551
BaseRepresentation
bin10101011011000000…
…00100000000100000
31002200111210001220220
422231200010000200
5142023201013414
65141114003040
7555000112164
oct125540040040
932614701826
1011500797984
11497199a825
12228b716480
1311138cba10
147b15d2ca4
15474a13ca9
hex2ad804020

11500797984 has 96 divisors (see below), whose sum is σ = 32652232704. Its totient is φ = 3523430400.

The previous prime is 11500797977. The next prime is 11500798019. The reversal of 11500797984 is 48979700511.

It is a happy number.

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, 271009 + ... + 310559.

It is an arithmetic number, because the mean of its divisors is an integer number (340127424).

Almost surely, 211500797984 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 11500797984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326116352).

11500797984 is an abundant number, since it is smaller than the sum of its proper divisors (21151434720).

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

11500797984 is a wasteful number, since it uses less digits than its factorization.

11500797984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39810 (or 39802 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 11500797984 in words is "eleven billion, five hundred million, seven hundred ninety-seven thousand, nine hundred eighty-four".

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 39551 48464 72696 79102 96928 118653 145392 158204 237306 290784 316408 474612 514163 632816 949224 1028326 1265632 1542489 1898448 2056652 3084978 3796896 4113304 6169956 8226608 9215383 12339912 16453216 18430766 24679824 27646149 36861532 49359648 55292298 73723064 110584596 119799979 147446128 221169192 239599958 294892256 359399937 442338384 479199916 718799874 884676768 958399832 1437599748 1916799664 2875199496 3833599328 5750398992 11500797984