Base | Representation |
---|---|
bin | 11001101111111100… |
… | …00111011010000000 |
3 | 1022200102011111201200 |
4 | 30313332013122000 |
5 | 211302411311112 |
6 | 10203422501200 |
7 | 666366324561 |
oct | 146776073200 |
9 | 38612144650 |
10 | 13823932032 |
11 | 5954281819 |
12 | 2819734800 |
13 | 13c3cb3951 |
14 | 951d64168 |
15 | 55d954cdc |
hex | 337f87680 |
13823932032 has 48 divisors (see below), whose sum is σ = 39779807730. Its totient is φ = 4607976960.
The previous prime is 13823932009. The next prime is 13823932039. The reversal of 13823932032 is 23023932831.
It can be written as a sum of positive squares in only one way, i.e., 12772616256 + 1051315776 = 113016^2 + 32424^2 .
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×138239320322 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (13823932039) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5998819 + ... + 6001122.
Almost surely, 213823932032 is an apocalyptic number.
13823932032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
13823932032 is an abundant number, since it is smaller than the sum of its proper divisors (25955875698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13823932032 is a wasteful number, since it uses less digits than its factorization.
13823932032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11999961 (or 11999946 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The spelling of 13823932032 in words is "thirteen billion, eight hundred twenty-three million, nine hundred thirty-two thousand, thirty-two".
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