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133395516 = 22323705431
BaseRepresentation
bin1111111001101…
…11010000111100
3100022000012020200
413330313100330
5233122124031
621123043500
73206562132
oct774672074
9308005220
10133395516
1169331031
1238810590
1321837177
1413a05752
15ba9e8e6
hex7f3743c

133395516 has 18 divisors (see below), whose sum is σ = 337194312. Its totient is φ = 44465160.

The previous prime is 133395487. The next prime is 133395517. The reversal of 133395516 is 615593331.

133395516 is a `hidden beast` number, since 133 + 3 + 9 + 5 + 516 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3705431 = 133395516 / (1 + 3 + 3 + 3 + 9 + 5 + 5 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133395517) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1852680 + ... + 1852751.

Almost surely, 2133395516 is an apocalyptic number.

It is an amenable number.

133395516 is an abundant number, since it is smaller than the sum of its proper divisors (203798796).

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

133395516 is a wasteful number, since it uses less digits than its factorization.

133395516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705441 (or 3705436 counting only the distinct ones).

The product of its digits is 36450, while the sum is 36.

The square root of 133395516 is about 11549.6976583805. The cubic root of 133395516 is about 510.9523611927.

The spelling of 133395516 in words is "one hundred thirty-three million, three hundred ninety-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3705431 7410862 11116293 14821724 22232586 33348879 44465172 66697758 133395516