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11688850464 = 2531946113901
BaseRepresentation
bin10101110001011010…
…11011010000100000
31010011121122010102120
422320231123100200
5142414321203324
65211512344240
7562442406144
oct127055332040
933147563376
1011688850464
114a590623a5
1223226a5080
131143861b85
147cc585224
154862ad179
hex2b8b5b420

11688850464 has 96 divisors (see below), whose sum is σ = 32370528960. Its totient is φ = 3682944000.

The previous prime is 11688850417. The next prime is 11688850477. The reversal of 11688850464 is 46405888611.

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, 833914 + ... + 847814.

It is an arithmetic number, because the mean of its divisors is an integer number (337193010).

Almost surely, 211688850464 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 11688850464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185264480).

11688850464 is an abundant number, since it is smaller than the sum of its proper divisors (20681678496).

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

11688850464 is a wasteful number, since it uses less digits than its factorization.

11688850464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14394 (or 14386 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 11688850464 in words is "eleven billion, six hundred eighty-eight million, eight hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 461 608 912 922 1383 1824 1844 2766 3688 5532 7376 8759 11064 13901 14752 17518 22128 26277 27802 35036 41703 44256 52554 55604 70072 83406 105108 111208 140144 166812 210216 222416 264119 280288 333624 420432 444832 528238 667248 792357 840864 1056476 1334496 1584714 2112952 3169428 4225904 6338856 6408361 8451808 12677712 12816722 19225083 25355424 25633444 38450166 51266888 76900332 102533776 121758859 153800664 205067552 243517718 307601328 365276577 487035436 615202656 730553154 974070872 1461106308 1948141744 2922212616 3896283488 5844425232 11688850464