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13443603264 = 26337131747107
BaseRepresentation
bin11001000010100110…
…10001101101000000
31021200220111210202000
430201103101231000
5210013030301024
610101555024000
7654100512420
oct144123215500
937626453660
1013443603264
115779622123
12273229b000
13136326bc40
14917640480
1553a379cc9
hex3214d1b40

13443603264 has 896 divisors, whose sum is σ = 53090795520. Its totient is φ = 3235479552.

The previous prime is 13443603263. The next prime is 13443603269. The reversal of 13443603264 is 46230634431.

13443603264 is a `hidden beast` number, since 1 + 3 + 4 + 43 + 603 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13443603263) 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 127 ways as a sum of consecutive naturals, for example, 125641099 + ... + 125641205.

It is an arithmetic number, because the mean of its divisors is an integer number (59253120).

Almost surely, 213443603264 is an apocalyptic number.

13443603264 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 13443603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26545397760).

13443603264 is an abundant number, since it is smaller than the sum of its proper divisors (39647192256).

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

13443603264 is a wasteful number, since it uses less digits than its factorization.

13443603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 13443603264 in words is "thirteen billion, four hundred forty-three million, six hundred three thousand, two hundred sixty-four".