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115667106672 = 24313185363953
BaseRepresentation
bin110101110111001001…
…0111111101101110000
3102001120001001211020210
41223232102333231300
53343341234403142
6125045311304120
711233224120225
oct1535622775560
9361501054223
10115667106672
1145066080247
121a50081b040
13aba461bc70
145853ad994c
15301e8c549c
hex1aee4bfb70

115667106672 has 40 divisors (see below), whose sum is σ = 321791824144. Its totient is φ = 35589878784.

The previous prime is 115667106661. The next prime is 115667106677. The reversal of 115667106672 is 276601766511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115667106677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92681353 + ... + 92682600.

Almost surely, 2115667106672 is an apocalyptic number.

115667106672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115667106672 is an abundant number, since it is smaller than the sum of its proper divisors (206124717472).

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

115667106672 is a wasteful number, since it uses less digits than its factorization.

115667106672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185363977 (or 185363971 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 115667106672 in words is "one hundred fifteen billion, six hundred sixty-seven million, one hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 185363953 370727906 556091859 741455812 1112183718 1482911624 2224367436 2409731389 2965823248 4448734872 4819462778 7229194167 8897469744 9638925556 14458388334 19277851112 28916776668 38555702224 57833553336 115667106672