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664013133 = 3474724917
BaseRepresentation
bin100111100101000…
…000100101001101
31201021110100210000
4213211000211031
52324441410013
6145520034513
722312006230
oct4745004515
91637410700
10664013133
113108aa993
12166462a39
13a774c3a4
146428b417
153d464973
hex2794094d

664013133 has 40 divisors (see below), whose sum is σ = 1157789952. Its totient is φ = 371348064.

The previous prime is 664013099. The next prime is 664013153. The reversal of 664013133 is 331310466.

664013133 is a `hidden beast` number, since 6 + 640 + 1 + 3 + 13 + 3 = 666.

It is not a de Polignac number, because 664013133 - 210 = 664012109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 664013097 and 664013106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664013153) 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 39 ways as a sum of consecutive naturals, for example, 14191 + ... + 39107.

Almost surely, 2664013133 is an apocalyptic number.

664013133 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

664013133 is a deficient number, since it is larger than the sum of its proper divisors (493776819).

664013133 is a wasteful number, since it uses less digits than its factorization.

664013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24983 (or 24974 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 664013133 is about 25768.4522818116. The cubic root of 664013133 is about 872.4198859673.

Adding to 664013133 its reverse (331310466), we get a palindrome (995323599).

The spelling of 664013133 in words is "six hundred sixty-four million, thirteen thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 47 63 81 141 189 329 423 567 987 1269 2961 3807 8883 24917 26649 74751 174419 224253 523257 672759 1171099 1569771 2018277 3513297 4709313 8197693 10539891 14127939 24593079 31619673 73779237 94859019 221337711 664013133