| Base | Representation |
|---|---|
| bin | 10111010010011100… |
| … | …11100100000000000 |
| 3 | 1012021100020200200000 |
| 4 | 23221032130200000 |
| 5 | 201101210001142 |
| 6 | 5424350400000 |
| 7 | 621555103620 |
| oct | 135116344000 |
| 9 | 35240220600 |
| 10 | 12502812672 |
| 11 | 533656a239 |
| 12 | 250b200000 |
| 13 | 1243392c0c |
| 14 | 868706880 |
| 15 | 4d299214c |
| hex | 2e939c800 |
12502812672 has 576 divisors, whose sum is σ = 44407359360. Its totient is φ = 3439853568.
The previous prime is 12502812671. The next prime is 12502812689. The reversal of 12502812672 is 27621820521.
It is a happy number.
12502812672 is a `hidden beast` number, since 1 + 2 + 502 + 81 + 2 + 6 + 72 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-3 number, since 3×125028126723 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 (12502812671) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128894928 + ... + 128895024.
It is an arithmetic number, because the mean of its divisors is an integer number (77096110).
Almost surely, 212502812672 is an apocalyptic number.
12502812672 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 12502812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22203679680).
12502812672 is an abundant number, since it is smaller than the sum of its proper divisors (31904546688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12502812672 is an frugal number, since it uses more digits than its factorization.
12502812672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178 (or 146 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The spelling of 12502812672 in words is "twelve billion, five hundred two million, eight hundred twelve thousand, six hundred seventy-two".
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