| Base | Representation |
|---|---|
| bin | 1001010101001101000111… |
| … | …1000010111110111100000 |
| 3 | 1100022211121021210200002000 |
| 4 | 2111103101320113313200 |
| 5 | 2321044240144300231 |
| 6 | 33453200122524000 |
| 7 | 2106152651403501 |
| oct | 225232170276740 |
| 9 | 40284537720060 |
| 10 | 10259903118816 |
| 11 | 32a6222920a8a |
| 12 | 1198530966600 |
| 13 | 595673b13820 |
| 14 | 276820c84ba8 |
| 15 | 12bd3c37e6e6 |
| hex | 954d1e17de0 |
10259903118816 has 768 divisors, whose sum is σ = 34306222325760. Its totient is φ = 2960665344000.
The previous prime is 10259903118799. The next prime is 10259903118823. The reversal of 10259903118816 is 61881130995201.
It is a happy number.
10259903118816 is a `hidden beast` number, since 1 + 0 + 2 + 599 + 0 + 31 + 1 + 8 + 8 + 16 = 666.
10259903118816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×102599031188162 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1961362921 + ... + 1961368151.
It is an arithmetic number, because the mean of its divisors is an integer number (44669560320).
Almost surely, 210259903118816 is an apocalyptic number.
10259903118816 is a gapful number since it is divisible by the number (16) 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 10259903118816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153111162880).
10259903118816 is an abundant number, since it is smaller than the sum of its proper divisors (24046319206944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10259903118816 is a wasteful number, since it uses less digits than its factorization.
10259903118816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5468 (or 5454 counting only the distinct ones).
The product of its (nonzero) digits is 933120, while the sum is 54.
The spelling of 10259903118816 in words is "ten trillion, two hundred fifty-nine billion, nine hundred three million, one hundred eighteen thousand, eight hundred sixteen".
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