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133115424705 = 345328680061
BaseRepresentation
bin111101111111001001…
…1000010111111000001
3110201121001011012220000
41323332103002333001
54140110022042310
6141052525310213
712421503304134
oct1737623027701
9421531135800
10133115424705
11514aa20689a
1221970105369
13c7254705c3
14662b15a21b
1536e16074c0
hex1efe4c2fc1

133115424705 has 20 divisors (see below), whose sum is σ = 238621725012. Its totient is φ = 70994892960.

The previous prime is 133115424647. The next prime is 133115424721. The reversal of 133115424705 is 507424511331.

133115424705 is a `hidden beast` number, since 1 + 3 + 31 + 154 + 2 + 470 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18704391696 + 114411033009 = 136764^2 + 338247^2 .

It is not a de Polignac number, because 133115424705 - 218 = 133115162561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133115424705.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164339626 + ... + 164340435.

Almost surely, 2133115424705 is an apocalyptic number.

133115424705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133115424705 is a deficient number, since it is larger than the sum of its proper divisors (105506300307).

133115424705 is an equidigital number, since it uses as much as digits as its factorization.

133115424705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328680078 (or 328680069 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 133115424705 in words is "one hundred thirty-three billion, one hundred fifteen million, four hundred twenty-four thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 328680061 986040183 1643400305 2958120549 4930200915 8874361647 14790602745 26623084941 44371808235 133115424705