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133645644 = 223211337489
BaseRepresentation
bin1111111011101…
…00010101001100
3100022110220100200
413331310111030
5233203130034
621132253500
73211653306
oct775642514
9308426320
10133645644
1169491a50
1238911290
13218c3c82
1413a6c976
15baeda99
hex7f7454c

133645644 has 36 divisors (see below), whose sum is σ = 368539080. Its totient is φ = 40498560.

The previous prime is 133645613. The next prime is 133645649. The reversal of 133645644 is 446546331.

133645644 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 4 + 5 + 644 = 666.

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

It is a super-2 number, since 2×1336456442 = 35722316320349472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 133645599 and 133645608.

It is not an unprimeable number, because it can be changed into a prime (133645649) 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, 168349 + ... + 169140.

Almost surely, 2133645644 is an apocalyptic number.

It is an amenable number.

133645644 is an abundant number, since it is smaller than the sum of its proper divisors (234893436).

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

133645644 is a wasteful number, since it uses less digits than its factorization.

133645644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337510 (or 337505 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 133645644 is about 11560.5209225190. The cubic root of 133645644 is about 511.2715215821.

The spelling of 133645644 in words is "one hundred thirty-three million, six hundred forty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 337489 674978 1012467 1349956 2024934 3037401 3712379 4049868 6074802 7424758 11137137 12149604 14849516 22274274 33411411 44548548 66822822 133645644