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18666862144 = 267109382267
BaseRepresentation
bin10001011000101000…
…011011011001000000
31210011220222211220121
4101120220123121000
5301212204042034
612324143350024
71230403465420
oct213050333100
953156884817
1018666862144
117a09a588a7
12374b5b2314
1319b6439678
14c9121a480
15743bd21b4
hex458a1b640

18666862144 has 56 divisors (see below), whose sum is σ = 42722271680. Its totient is φ = 7926667776.

The previous prime is 18666862141. The next prime is 18666862157. The reversal of 18666862144 is 44126866681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 18666862091 and 18666862100.

It is not an unprimeable number, because it can be changed into a prime (18666862141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142302 + ... + 239965.

Almost surely, 218666862144 is an apocalyptic number.

18666862144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18666862144 is an abundant number, since it is smaller than the sum of its proper divisors (24055409536).

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

18666862144 is a wasteful number, since it uses less digits than its factorization.

18666862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382395 (or 382385 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 52.

The spelling of 18666862144 in words is "eighteen billion, six hundred sixty-six million, eight hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 24416 48832 382267 764534 1529068 2675869 3058136 5351738 6116272 10703476 12232544 21406952 24465088 41667103 42813904 83334206 85627808 166668412 171255616 291669721 333336824 583339442 666673648 1166678884 1333347296 2333357768 2666694592 4666715536 9333431072 18666862144