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13812664356 = 22321722569713
BaseRepresentation
bin11001101110100110…
…01000100000100100
31022122121222001101100
430313103020200210
5211242020224411
610202341200100
7666201465321
oct146723104044
938577861340
1013812664356
115948986197
122815a00030
1313c186a09a
1495066db48
1555c97b456
hex3374c8824

13812664356 has 36 divisors (see below), whose sum is σ = 36969191532. Its totient is φ = 4333384704.

The previous prime is 13812664351. The next prime is 13812664363. The reversal of 13812664356 is 65346621831.

13812664356 is a `hidden beast` number, since 1 + 38 + 1 + 266 + 4 + 356 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10948273956 + 2864390400 = 104634^2 + 53520^2 .

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

It is a super-2 number, since 2×138126643562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13812664351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11284245 + ... + 11285468.

It is an arithmetic number, because the mean of its divisors is an integer number (1026921987).

Almost surely, 213812664356 is an apocalyptic number.

It is an amenable number.

13812664356 is an abundant number, since it is smaller than the sum of its proper divisors (23156527176).

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

13812664356 is a wasteful number, since it uses less digits than its factorization.

13812664356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22569740 (or 22569735 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 13812664356 in words is "thirteen billion, eight hundred twelve million, six hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 22569713 45139426 67709139 90278852 135418278 203127417 270836556 383685121 406254834 767370242 812509668 1151055363 1534740484 2302110726 3453166089 4604221452 6906332178 13812664356