Base | Representation |
---|---|
bin | 10111010001011000… |
… | …10110010000000000 |
3 | 1012020201102120100121 |
4 | 23220230112100000 |
5 | 201041412433201 |
6 | 5423431030024 |
7 | 621416115100 |
oct | 135054262000 |
9 | 35221376317 |
10 | 12493874176 |
11 | 5331514653 |
12 | 250820b314 |
13 | 1241583574 |
14 | 86745b200 |
15 | 4d1cc89a1 |
hex | 2e8b16400 |
12493874176 has 99 divisors (see below), whose sum is σ = 29111527179. Its totient is φ = 5343787008.
The previous prime is 12493874171. The next prime is 12493874179. The reversal of 12493874176 is 67147839421.
It is a happy number.
The square root of 12493874176 is 111776.
It is a perfect power (a square), and thus also a powerful number.
It is not an unprimeable number, because it can be changed into a prime (12493874171) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25037575 + ... + 25038073.
Almost surely, 212493874176 is an apocalyptic number.
12493874176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
12493874176 is the 111776-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12493874176
12493874176 is an abundant number, since it is smaller than the sum of its proper divisors (16617653003).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12493874176 is an frugal number, since it uses more digits than its factorization.
12493874176 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1032 (or 508 counting only the distinct ones).
The product of its digits is 2032128, while the sum is 52.
The spelling of 12493874176 in words is "twelve billion, four hundred ninety-three million, eight hundred seventy-four thousand, one hundred seventy-six".
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