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800014164516 = 22327364788967
BaseRepresentation
bin10111010010001001000…
…11110110001000100100
32211110222100210101001100
423221010203312020210
5101101412111231031
61411304344000100
7111541045125000
oct13510443661044
92743870711040
10800014164516
11289314159806
1210b06b160030
135a596b98948
142aa141b1700
1515c2468dde6
hexba448f6224

800014164516 has 72 divisors (see below), whose sum is σ = 2358318435200. Its totient is φ = 228575472048.

The previous prime is 800014164487. The next prime is 800014164557. The reversal of 800014164516 is 615461410008.

800014164516 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 1 + 4 + 1 + 645 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32382136 + ... + 32406831.

Almost surely, 2800014164516 is an apocalyptic number.

It is an amenable number.

800014164516 is an abundant number, since it is smaller than the sum of its proper divisors (1558304270684).

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

800014164516 is a wasteful number, since it uses less digits than its factorization.

800014164516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64788998 (or 64788979 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 800014164516 in words is "eight hundred billion, fourteen million, one hundred sixty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 64788967 129577934 194366901 259155868 388733802 453522769 583100703 777467604 907045538 1166201406 1360568307 1814091076 2332402812 2721136614 3174659383 4081704921 5442273228 6349318766 8163409842 9523978149 12698637532 16326819684 19047956298 22222615681 28571934447 38095912596 44445231362 57143868894 66667847043 88890462724 114287737788 133335694086 200003541129 266671388172 400007082258 800014164516