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12382564443144 = 233773705740733
BaseRepresentation
bin1011010000110000101001…
…0110101110010000001000
31121211202120012120102012020
42310030022112232100020
53110333442444140034
642200245505444440
72415416330066160
oct264141226562010
947752505512166
1012382564443144
113a444638a7285
12147b9a7940720
136ba894a26b7c
1430b4682c35a0
15167173ca8249
hexb430a5ae408

12382564443144 has 32 divisors (see below), whose sum is σ = 35378755552320. Its totient is φ = 3537875555136.

The previous prime is 12382564443071. The next prime is 12382564443199. The reversal of 12382564443144 is 44134446528321.

It is a super-2 number, since 2×123825644431442 (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 36852870199 + ... + 36852870534.

It is an arithmetic number, because the mean of its divisors is an integer number (1105586111010).

Almost surely, 212382564443144 is an apocalyptic number.

12382564443144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12382564443144 is an abundant number, since it is smaller than the sum of its proper divisors (22996191109176).

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

12382564443144 is a wasteful number, since it uses less digits than its factorization.

12382564443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73705740749 (or 73705740745 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 51.

The spelling of 12382564443144 in words is "twelve trillion, three hundred eighty-two billion, five hundred sixty-four million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 73705740733 147411481466 221117222199 294822962932 442234444398 515940185131 589645925864 884468888796 1031880370262 1547820555393 1768937777592 2063760740524 3095641110786 4127521481048 6191282221572 12382564443144