| Base | Representation |
|---|---|
| bin | 10011001111000100… |
| … | …01110110100100000 |
| 3 | 222122200222222220100 |
| 4 | 21213202032310200 |
| 5 | 132122200231230 |
| 6 | 4424422342400 |
| 7 | 513624503205 |
| oct | 114742166440 |
| 9 | 28580888810 |
| 10 | 10326961440 |
| 11 | 441a333a84 |
| 12 | 200258aa00 |
| 13 | c87668193 |
| 14 | 6dd753cac |
| 15 | 406945660 |
| hex | 26788ed20 |
10326961440 has 288 divisors, whose sum is σ = 37707087600. Its totient is φ = 2564554752.
The previous prime is 10326961417. The next prime is 10326961441. The reversal of 10326961440 is 4416962301.
10326961440 is a `hidden beast` number, since 1 + 0 + 32 + 6 + 9 + 614 + 4 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2541369744 + 7785591696 = 50412^2 + 88236^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×103269614402 (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 = 10326961395 and 10326961404.
It is not an unprimeable number, because it can be changed into a prime (10326961441) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2372386 + ... + 2376734.
Almost surely, 210326961440 is an apocalyptic number.
10326961440 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 10326961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18853543800).
10326961440 is an abundant number, since it is smaller than the sum of its proper divisors (27380126160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10326961440 is a wasteful number, since it uses less digits than its factorization.
10326961440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4484 (or 4473 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 10326961440 in words is "ten billion, three hundred twenty-six million, nine hundred sixty-one thousand, four hundred forty".
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