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13264244136 = 233211131288291
BaseRepresentation
bin11000101101001110…
…00100110110101000
31021020102000102021100
430112213010312220
5204131121303021
610032110441400
7646462133463
oct142647046650
937212012240
1013264244136
115697357a40
1226a2203260
131335060990
148db8b22da
1552974b626
hex3169c4da8

13264244136 has 96 divisors (see below), whose sum is σ = 42204445920. Its totient is φ = 3710275200.

The previous prime is 13264244129. The next prime is 13264244137. The reversal of 13264244136 is 63144246231.

13264244136 is a `hidden beast` number, since 1 + 3 + 2 + 642 + 4 + 4 + 1 + 3 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 13264244136.

It is not an unprimeable number, because it can be changed into a prime (13264244137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633850 + ... + 654441.

It is an arithmetic number, because the mean of its divisors is an integer number (439629645).

Almost surely, 213264244136 is an apocalyptic number.

It is an amenable number.

13264244136 is an abundant number, since it is smaller than the sum of its proper divisors (28940201784).

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

13264244136 is a wasteful number, since it uses less digits than its factorization.

13264244136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288327 (or 1288320 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 13264244136 in words is "thirteen billion, two hundred sixty-four million, two hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 1288291 2576582 3864873 5153164 7729746 10306328 11594619 14171201 15459492 16747783 23189238 28342402 30918984 33495566 42513603 46378476 50243349 56684804 66991132 85027206 92756952 100486698 113369608 127540809 133982264 150730047 170054412 184225613 200973396 255081618 301460094 340108824 368451226 401946792 510163236 552676839 602920188 736902452 1020326472 1105353678 1205840376 1473804904 1658030517 2210707356 3316061034 4421414712 6632122068 13264244136