| Base | Representation |
|---|---|
| bin | 10111101010101101… |
| … | …10111111111110000 |
| 3 | 1012210112020102002000 |
| 4 | 23311112313333300 |
| 5 | 202010311132130 |
| 6 | 5500501054000 |
| 7 | 626606120250 |
| oct | 136526677760 |
| 9 | 35715212060 |
| 10 | 12706349040 |
| 11 | 5430448110 |
| 12 | 25673b7300 |
| 13 | 12765b7a38 |
| 14 | 887769960 |
| 15 | 4e5799260 |
| hex | 2f55b7ff0 |
12706349040 has 640 divisors, whose sum is σ = 54965053440. Its totient is φ = 2621030400.
The previous prime is 12706349039. The next prime is 12706349041. The reversal of 12706349040 is 4094360721.
12706349040 is a `hidden beast` number, since 1 + 2 + 70 + 63 + 490 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (12706349039) and next prime (12706349041).
It is a super-2 number, since 2×127063490402 (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 = 12706348986 and 12706349004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12706349041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40082962 + ... + 40083278.
It is an arithmetic number, because the mean of its divisors is an integer number (85882896).
Almost surely, 212706349040 is an apocalyptic number.
12706349040 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 12706349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27482526720).
12706349040 is an abundant number, since it is smaller than the sum of its proper divisors (42258704400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12706349040 is a wasteful number, since it uses less digits than its factorization.
12706349040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 598 (or 586 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The spelling of 12706349040 in words is "twelve billion, seven hundred six million, three hundred forty-nine thousand, forty".
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