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13218882486264 = 23337133557189067
BaseRepresentation
bin1100000001011100001011…
…0010110111111111111000
31201210201020122111220101000
43000113002302313333320
53213034232404030024
644040400515525000
72533014142133640
oct300270262677770
951721218456330
1013218882486264
114237107603344
121595aa8bb9760
1374b6c5cab990
14339b23c11520
1517dcc06d1cc9
hexc05c2cb7ff8

13218882486264 has 256 divisors, whose sum is σ = 45205705036800. Its totient is φ = 3485300120064.

The previous prime is 13218882486233. The next prime is 13218882486269. The reversal of 13218882486264 is 46268428881231.

It is a happy number.

13218882486264 is a `hidden beast` number, since 1 + 3 + 2 + 18 + 8 + 82 + 486 + 2 + 64 = 666.

It is a super-2 number, since 2×132188824862642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13218882486269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69821859 + ... + 70010925.

It is an arithmetic number, because the mean of its divisors is an integer number (176584785300).

Almost surely, 213218882486264 is an apocalyptic number.

13218882486264 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 13218882486264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22602852518400).

13218882486264 is an abundant number, since it is smaller than the sum of its proper divisors (31986822550536).

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

13218882486264 is a wasteful number, since it uses less digits than its factorization.

13218882486264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192659 (or 192649 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 63.

The spelling of 13218882486264 in words is "thirteen trillion, two hundred eighteen billion, eight hundred eighty-two million, four hundred eighty-six thousand, two hundred sixty-four".