| Base | Representation |
|---|---|
| bin | 10100011011111110… |
| … | …10101000011010000 |
| 3 | 1001022122222121122200 |
| 4 | 22031333111003100 |
| 5 | 134432330421334 |
| 6 | 5012430403200 |
| 7 | 535620336540 |
| oct | 121577250320 |
| 9 | 31278877580 |
| 10 | 10972123344 |
| 11 | 4720528736 |
| 12 | 2162660500 |
| 13 | 105b216ca0 |
| 14 | 7612d5320 |
| 15 | 4433d4799 |
| hex | 28dfd50d0 |
10972123344 has 480 divisors, whose sum is σ = 40210759680. Its totient is φ = 2712019968.
The previous prime is 10972123339. The next prime is 10972123369. The reversal of 10972123344 is 44332127901.
It is a happy number.
10972123344 is a `hidden beast` number, since 10 + 97 + 212 + 3 + 344 = 666.
10972123344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 10972123299 and 10972123308.
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 31619779 + ... + 31620125.
It is an arithmetic number, because the mean of its divisors is an integer number (83772416).
Almost surely, 210972123344 is an apocalyptic number.
10972123344 is a gapful number since it is divisible by the number (14) 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 10972123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105379840).
10972123344 is an abundant number, since it is smaller than the sum of its proper divisors (29238636336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10972123344 is a wasteful number, since it uses less digits than its factorization.
10972123344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 527 (or 518 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The spelling of 10972123344 in words is "ten billion, nine hundred seventy-two million, one hundred twenty-three thousand, three hundred forty-four".
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