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14685932808 = 23321931211171
BaseRepresentation
bin11011010110101100…
…11000110100001000
31101220111011200111100
431223112120310020
5220034044322213
610425134301400
71026634240431
oct155326306410
941814150440
1014685932808
11625690a758
122a1a357860
131500764391
149d462c488
155ae477773
hex36b598d08

14685932808 has 144 divisors (see below), whose sum is σ = 43265804400. Its totient is φ = 4487659200.

The previous prime is 14685932771. The next prime is 14685932843. The reversal of 14685932808 is 80823958641.

14685932808 is a `hidden beast` number, since 1 + 46 + 8 + 593 + 2 + 8 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1309063 + ... + 1320233.

It is an arithmetic number, because the mean of its divisors is an integer number (300456975).

Almost surely, 214685932808 is an apocalyptic number.

14685932808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14685932808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632902200).

14685932808 is an abundant number, since it is smaller than the sum of its proper divisors (28579871592).

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

14685932808 is a wasteful number, since it uses less digits than its factorization.

14685932808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11264 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 14685932808 in words is "fourteen billion, six hundred eighty-five million, nine hundred thirty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 961 1116 1178 1368 1767 1922 2232 2356 2883 3534 3844 4712 5301 5766 7068 7688 8649 10602 11171 11532 14136 17298 18259 21204 22342 23064 33513 34596 36518 42408 44684 54777 67026 69192 73036 89368 100539 109554 134052 146072 164331 201078 212249 219108 268104 328662 346301 402156 424498 438216 636747 657324 692602 804312 848996 1038903 1273494 1314648 1385204 1697992 1910241 2077806 2546988 2770408 3116709 3820482 4155612 5093976 6233418 6579719 7640964 8311224 10735331 12466836 13159438 15281928 19739157 21470662 24933672 26318876 32205993 39478314 42941324 52637752 59217471 64411986 78956628 85882648 96617979 118434942 128823972 157913256 193235958 203971289 236869884 257647944 386471916 407942578 473739768 611913867 772943832 815885156 1223827734 1631770312 1835741601 2447655468 3671483202 4895310936 7342966404 14685932808