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12818651664 = 2437213735743
BaseRepresentation
bin10111111000000110…
…10001101000010000
31020002100112222022110
423330003101220100
5202223033323124
65515552105320
7632441512200
oct137403215020
936070488273
1012818651664
1154888817a5
122598b35240
1312939481b0
14898640400
1550057e029
hex2fc0d1a10

12818651664 has 240 divisors, whose sum is σ = 42060141312. Its totient is φ = 3333851136.

The previous prime is 12818651623. The next prime is 12818651669. The reversal of 12818651664 is 46615681821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12818651669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229177 + ... + 2234919.

Almost surely, 212818651664 is an apocalyptic number.

12818651664 is a gapful number since it is divisible by the number (14) 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 12818651664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21030070656).

12818651664 is an abundant number, since it is smaller than the sum of its proper divisors (29241489648).

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

12818651664 is a wasteful number, since it uses less digits than its factorization.

12818651664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5841 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 12818651664 in words is "twelve billion, eight hundred eighteen million, six hundred fifty-one thousand, six hundred sixty-four".