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113664636 = 22325236037
BaseRepresentation
bin1101100011001…
…10001001111100
321220212202120100
412301212021330
5213044232021
615140121100
72550063531
oct661461174
9256782510
10113664636
1159184a18
1232096190
131a7193a7
141114ad88
159ea3626
hex6c6627c

113664636 has 36 divisors (see below), whose sum is σ = 287915992. Its totient is φ = 37809504.

The previous prime is 113664611. The next prime is 113664637. The reversal of 113664636 is 636466311.

113664636 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 646 + 3 + 6 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 113664636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113664637) 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, 15810 + ... + 21846.

Almost surely, 2113664636 is an apocalyptic number.

It is an amenable number.

113664636 is an abundant number, since it is smaller than the sum of its proper divisors (174251356).

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

113664636 is a wasteful number, since it uses less digits than its factorization.

113664636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570 (or 6565 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 113664636 is about 10661.3618267086. The cubic root of 113664636 is about 484.4048192034.

The spelling of 113664636 in words is "one hundred thirteen million, six hundred sixty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 523 1046 1569 2092 3138 4707 6037 6276 9414 12074 18111 18828 24148 36222 54333 72444 108666 217332 3157351 6314702 9472053 12629404 18944106 28416159 37888212 56832318 113664636