Base | Representation |
---|---|
bin | 110001100110111011… |
… | …0111110100010001000 |
3 | 101011222110112220112000 |
4 | 1203031312332202020 |
5 | 3221134414100141 |
6 | 120535054551000 |
7 | 10460662121214 |
oct | 1431566764210 |
9 | 334873486460 |
10 | 106532956296 |
11 | 411a9092938 |
12 | 18791808460 |
13 | a07a12c060 |
14 | 5228963944 |
15 | 2b87a4a5b6 |
hex | 18cddbe888 |
106532956296 has 128 divisors (see below), whose sum is σ = 337434854400. Its totient is φ = 30851159040.
The previous prime is 106532956291. The next prime is 106532956337. The reversal of 106532956296 is 692659235601.
It is a happy number.
106532956296 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 2 + 9 + 5 + 629 + 6 = 666.
It is a super-2 number, since 2×1065329562962 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (106532956291) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068120 + ... + 1163591.
It is an arithmetic number, because the mean of its divisors is an integer number (2636209800).
Almost surely, 2106532956296 is an apocalyptic number.
It is an amenable number.
106532956296 is an abundant number, since it is smaller than the sum of its proper divisors (230901898104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106532956296 is a wasteful number, since it uses less digits than its factorization.
106532956296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2231756 (or 2231746 counting only the distinct ones).
The product of its (nonzero) digits is 5248800, while the sum is 54.
The spelling of 106532956296 in words is "one hundred six billion, five hundred thirty-two million, nine hundred fifty-six thousand, two hundred ninety-six".
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