Base | Representation |
---|---|
bin | 10110111100000011… |
… | …11100100111110000 |
3 | 1011210020211011021100 |
4 | 23132001330213300 |
5 | 200210114040432 |
6 | 5354000524400 |
7 | 614114443110 |
oct | 133601744760 |
9 | 34706734240 |
10 | 12314986992 |
11 | 524a542000 |
12 | 2478320700 |
13 | 12134ac069 |
14 | 84b7b3040 |
15 | 4c124007c |
hex | 2de07c9f0 |
12314986992 has 480 divisors, whose sum is σ = 44291879424. Its totient is φ = 3127956480.
The previous prime is 12314986961. The next prime is 12314986993. The reversal of 12314986992 is 29968941321.
12314986992 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 498 + 69 + 92 = 666.
It is a super-2 number, since 2×123149869922 (a number of 21 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12314986993) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89890348 + ... + 89890484.
Almost surely, 212314986992 is an apocalyptic number.
12314986992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12314986992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145939712).
12314986992 is an abundant number, since it is smaller than the sum of its proper divisors (31976892432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12314986992 is a wasteful number, since it uses less digits than its factorization.
12314986992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 258 (or 227 counting only the distinct ones).
The product of its digits is 1679616, while the sum is 54.
The spelling of 12314986992 in words is "twelve billion, three hundred fourteen million, nine hundred eighty-six thousand, nine hundred ninety-two".
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