| Base | Representation |
|---|---|
| bin | 1011011111111001001010… |
| … | …0010110101011100000000 |
| 3 | 1122202121121212021212021000 |
| 4 | 2313332102202311130000 |
| 5 | 3124113414110414230 |
| 6 | 42515523413532000 |
| 7 | 2443252052310300 |
| oct | 267762242653400 |
| 9 | 48677555255230 |
| 10 | 12642547357440 |
| 11 | 4034746435820 |
| 12 | 1502263644000 |
| 13 | 7092580a0430 |
| 14 | 319c8c88b600 |
| 15 | 16dcdd207b60 |
| hex | b7f928b5700 |
12642547357440 has 6912 divisors, whose sum is σ = 67476363171840. Its totient is φ = 2193862164480.
The previous prime is 12642547357421. The next prime is 12642547357483. The reversal of 12642547357440 is 4475374524621.
12642547357440 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 547 + 3 + 57 + 4 + 40 = 666.
12642547357440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (6912).
It is a super-2 number, since 2×126425473574402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 152319847639 + ... + 152319847721.
It is an arithmetic number, because the mean of its divisors is an integer number (9762205320).
Almost surely, 212642547357440 is an apocalyptic number.
12642547357440 is a gapful number since it is divisible by the number (10) 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 12642547357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33738181585920).
12642547357440 is an abundant number, since it is smaller than the sum of its proper divisors (54833815814400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12642547357440 is a wasteful number, since it uses less digits than its factorization.
12642547357440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 205 (or 178 counting only the distinct ones).
The product of its (nonzero) digits is 22579200, while the sum is 54.
The spelling of 12642547357440 in words is "twelve trillion, six hundred forty-two billion, five hundred forty-seven million, three hundred fifty-seven thousand, four hundred forty".
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