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133418664 = 233622877
BaseRepresentation
bin1111111001111…
…00111010101000
3100022001101000000
413330330322220
5233123344124
621123343000
73210016461
oct774747250
9308041000
10133418664
1169347465
1238821a60
1321844872
1413a0dd68
15baa66c9
hex7f3cea8

133418664 has 56 divisors (see below), whose sum is σ = 375084810. Its totient is φ = 44470944.

The previous prime is 133418603. The next prime is 133418687. The reversal of 133418664 is 466814331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 89302500 + 44116164 = 9450^2 + 6642^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5607 + ... + 17270.

Almost surely, 2133418664 is an apocalyptic number.

It is an amenable number.

133418664 is an abundant number, since it is smaller than the sum of its proper divisors (241666146).

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

133418664 is an equidigital number, since it uses as much as digits as its factorization.

133418664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22901 (or 22882 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 133418664 is about 11550.6997190646. The cubic root of 133418664 is about 510.9819145129.

The spelling of 133418664 in words is "one hundred thirty-three million, four hundred eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 22877 45754 68631 91508 137262 183016 205893 274524 411786 549048 617679 823572 1235358 1647144 1853037 2470716 3706074 4941432 5559111 7412148 11118222 14824296 16677333 22236444 33354666 44472888 66709332 133418664