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136432139112 = 23325335752657
BaseRepresentation
bin111111100001111111…
…1010011101101101000
3111001011012010202201100
41333003333103231220
54213403111422422
6142402010121400
712566626022343
oct1770377235550
9431135122640
10136432139112
1152951427485
1222536a20260
13cb336556c9
14686384745a
1538378ac7ac
hex1fc3fd3b68

136432139112 has 48 divisors (see below), whose sum is σ = 376475488740. Its totient is φ = 44619314688.

The previous prime is 136432139111. The next prime is 136432139113. The reversal of 136432139112 is 211931234631.

136432139112 is a `hidden beast` number, since 1 + 3 + 643 + 2 + 1 + 3 + 9 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (136432139111) and next prime (136432139113).

It can be written as a sum of positive squares in 2 ways, for example, as 135988362756 + 443776356 = 368766^2 + 21066^2 .

It is a super-3 number, since 3×1364321391123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 not an unprimeable number, because it can be changed into a prime (136432139111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17872513 + ... + 17880144.

Almost surely, 2136432139112 is an apocalyptic number.

136432139112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136432139112 is an abundant number, since it is smaller than the sum of its proper divisors (240043349628).

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

136432139112 is a wasteful number, since it uses less digits than its factorization.

136432139112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35752722 (or 35752715 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 136432139112 in words is "one hundred thirty-six billion, four hundred thirty-two million, one hundred thirty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 35752657 71505314 107257971 143010628 214515942 286021256 321773913 429031884 643547826 858063768 1287095652 1894890821 2574191304 3789781642 5684672463 7579563284 11369344926 15159126568 17054017389 22738689852 34108034778 45477379704 68216069556 136432139112