| Base | Representation |
|---|---|
| bin | 10100001100101101… |
| … | …00110101111110000 |
| 3 | 1000222201220122122000 |
| 4 | 22012112212233300 |
| 5 | 134202031214113 |
| 6 | 4552012414000 |
| 7 | 532503353643 |
| oct | 120626465760 |
| 9 | 30881818560 |
| 10 | 10844007408 |
| 11 | 46651832a3 |
| 12 | 2127777300 |
| 13 | 103a80ac40 |
| 14 | 74c2a5a5a |
| 15 | 437029373 |
| hex | 2865a6bf0 |
10844007408 has 160 divisors (see below), whose sum is σ = 35285241600. Its totient is φ = 3160975104.
The previous prime is 10844007403. The next prime is 10844007437. The reversal of 10844007408 is 80470044801.
It is a happy number.
10844007408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10844007403) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 55891 + ... + 157517.
It is an arithmetic number, because the mean of its divisors is an integer number (220532760).
Almost surely, 210844007408 is an apocalyptic number.
10844007408 is a gapful number since it is divisible by the number (18) 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 10844007408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642620800).
10844007408 is an abundant number, since it is smaller than the sum of its proper divisors (24441234192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10844007408 is a wasteful number, since it uses less digits than its factorization.
10844007408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 101676 (or 101664 counting only the distinct ones).
The product of its (nonzero) digits is 28672, while the sum is 36.
The spelling of 10844007408 in words is "ten billion, eight hundred forty-four million, seven thousand, four hundred eight".
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