| Base | Representation |
|---|---|
| bin | 10011110101001110… |
| … | …11000111011000000 |
| 3 | 1000111000100201220000 |
| 4 | 21322213120323000 |
| 5 | 133301123040030 |
| 6 | 4520255520000 |
| 7 | 524562456300 |
| oct | 117247307300 |
| 9 | 30430321800 |
| 10 | 10647080640 |
| 11 | 4573aaa2a9 |
| 12 | 2091829000 |
| 13 | 1008a8b721 |
| 14 | 730083600 |
| 15 | 424aca860 |
| hex | 27a9d8ec0 |
10647080640 has 840 divisors, whose sum is σ = 45029243952. Its totient is φ = 2380492800.
The previous prime is 10647080623. The next prime is 10647080663. The reversal of 10647080640 is 4608074601.
10647080640 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 7 + 0 + 8 + 0 + 640 = 666.
10647080640 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 (840).
It is a super-2 number, since 2×106470806402 (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 a junction number, because it is equal to n+sod(n) for n = 10647080595 and 10647080604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105416590 + ... + 105416690.
Almost surely, 210647080640 is an apocalyptic number.
10647080640 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 10647080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22514621976).
10647080640 is an abundant number, since it is smaller than the sum of its proper divisors (34382163312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10647080640 is a wasteful number, since it uses less digits than its factorization.
10647080640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 227 (or 201 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 10647080640 in words is "ten billion, six hundred forty-seven million, eighty thousand, six hundred forty".
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