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133678017 = 32112122753
BaseRepresentation
bin1111111011111…
…00001111000001
3100022112112202200
413331330033001
5233210144032
621133103413
73212146554
oct775741701
9308475680
10133678017
1169504300
1238927b69
1321905925
1413a7a69b
15bb0847c
hex7f7c3c1

133678017 has 18 divisors (see below), whose sum is σ = 212241666. Its totient is φ = 81016320.

The previous prime is 133678009. The next prime is 133678049. The reversal of 133678017 is 710876331.

It can be written as a sum of positive squares in only one way, i.e., 103306896 + 30371121 = 10164^2 + 5511^2 .

It is not a de Polignac number, because 133678017 - 23 = 133678009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133678007) 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 17 ways as a sum of consecutive naturals, for example, 60288 + ... + 62465.

Almost surely, 2133678017 is an apocalyptic number.

It is an amenable number.

133678017 is a deficient number, since it is larger than the sum of its proper divisors (78563649).

133678017 is a wasteful number, since it uses less digits than its factorization.

133678017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122781 (or 122767 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 133678017 is about 11561.9209909080. The cubic root of 133678017 is about 511.3128000362.

The spelling of 133678017 in words is "one hundred thirty-three million, six hundred seventy-eight thousand, seventeen".

Divisors: 1 3 9 11 33 99 121 363 1089 122753 368259 1104777 1350283 4050849 12152547 14853113 44559339 133678017