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11684035968 = 273112995383
BaseRepresentation
bin10101110000110110…
…00011110110000000
31010011021120112011220
422320123003312000
5142412103122333
65211221235040
7562353444543
oct127033036600
933137515156
1011684035968
114a56374180
122320b62a80
131142867667
147cba9085a
15485b5b8b3
hex2b86c3d80

11684035968 has 128 divisors (see below), whose sum is σ = 35025004800. Its totient is φ = 3418490880.

The previous prime is 11684035901. The next prime is 11684035991. The reversal of 11684035968 is 86953048611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11684035968.

It is a congruent number.

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, 74805 + ... + 170187.

It is an arithmetic number, because the mean of its divisors is an integer number (273632850).

Almost surely, 211684035968 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 11684035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512502400).

11684035968 is an abundant number, since it is smaller than the sum of its proper divisors (23340968832).

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

11684035968 is a wasteful number, since it uses less digits than its factorization.

11684035968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95440 (or 95428 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 11684035968 in words is "eleven billion, six hundred eighty-four million, thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 264 319 348 352 384 464 528 638 696 704 928 957 1056 1276 1392 1408 1856 1914 2112 2552 2784 3712 3828 4224 5104 5568 7656 10208 11136 15312 20416 30624 40832 61248 95383 122496 190766 286149 381532 572298 763064 1049213 1144596 1526128 2098426 2289192 2766107 3052256 3147639 4196852 4578384 5532214 6104512 6295278 8298321 8393704 9156768 11064428 12209024 12590556 16596642 16787408 18313536 22128856 25181112 30427177 33193284 33574816 36627072 44257712 50362224 60854354 66386568 67149632 88515424 91281531 100724448 121708708 132773136 134299264 177030848 182563062 201448896 243417416 265546272 354061696 365126124 402897792 486834832 531092544 730252248 973669664 1062185088 1460504496 1947339328 2921008992 3894678656 5842017984 11684035968