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13418752068 = 2232715249903
BaseRepresentation
bin11000111111101000…
…11110100001000100
31021122011202020022100
430133310132201010
5204440200031233
610055310232100
7653346340101
oct143764364104
937564666270
1013418752068
115766599047
122725ab5630
13135b07a6a7
14914211aa8
155380bb813
hex31fd1e844

13418752068 has 36 divisors (see below), whose sum is σ = 34397371008. Its totient is φ = 4409917680.

The previous prime is 13418752049. The next prime is 13418752079. The reversal of 13418752068 is 86025781431.

13418752068 is a `hidden beast` number, since 1 + 3 + 41 + 87 + 520 + 6 + 8 = 666.

13418752068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 2622396 + ... + 2627507.

It is an arithmetic number, because the mean of its divisors is an integer number (955482528).

Almost surely, 213418752068 is an apocalyptic number.

13418752068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13418752068 is an abundant number, since it is smaller than the sum of its proper divisors (20978618940).

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

13418752068 is a wasteful number, since it uses less digits than its factorization.

13418752068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249984 (or 5249979 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13418752068 in words is "thirteen billion, four hundred eighteen million, seven hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 5249903 10499806 15749709 20999612 31499418 47249127 62998836 94498254 188996508 372743113 745486226 1118229339 1490972452 2236458678 3354688017 4472917356 6709376034 13418752068