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136006431327 = 32132731224919
BaseRepresentation
bin111111010101010011…
…1010111001001011111
3111000001112002120102100
41332222213113021133
54212020121300302
6142251441500143
712553236406644
oct1765247271137
9430045076370
10136006431327
11527530a2968
1222438341653
13ca963b2a00
1468230addcb
15381031bd1c
hex1faa9d725f

136006431327 has 36 divisors (see below), whose sum is σ = 215642266320. Its totient is φ = 82549673856.

The previous prime is 136006431311. The next prime is 136006431329. The reversal of 136006431327 is 723134600631.

136006431327 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 0 + 643 + 1 + 3 + 2 + 7 = 666.

It is not a de Polignac number, because 136006431327 - 24 = 136006431311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136006431291 and 136006431300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136006431329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 501427 + ... + 723492.

Almost surely, 2136006431327 is an apocalyptic number.

136006431327 is a deficient number, since it is larger than the sum of its proper divisors (79635834993).

136006431327 is a wasteful number, since it uses less digits than its factorization.

136006431327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225024 (or 1225008 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 136006431327 in words is "one hundred thirty-six billion, six million, four hundred thirty-one thousand, three hundred twenty-seven".

Divisors: 1 3 9 13 39 73 117 169 219 507 657 949 1521 2847 8541 12337 37011 111033 1224919 3674757 11024271 15923947 47771841 89419087 143315523 207011311 268257261 621033933 804771783 1162448131 1863101799 3487344393 10462033179 15111825703 45335477109 136006431327