| Base | Representation |
|---|---|
| bin | 110001000100010001… |
| … | …0010000111100000000 |
| 3 | 101001222102001110111200 |
| 4 | 1202020202100330000 |
| 5 | 3211244143230002 |
| 6 | 120223430341200 |
| 7 | 10420110234666 |
| oct | 1421042207400 |
| 9 | 331872043450 |
| 10 | 105369898752 |
| 11 | 40761619558 |
| 12 | 185081ba800 |
| 13 | 9c231a0821 |
| 14 | 51582ccc36 |
| 15 | 2b1a8aab1c |
| hex | 1888890f00 |
105369898752 has 432 divisors, whose sum is σ = 322986273792. Its totient is φ = 32991805440.
The previous prime is 105369898747. The next prime is 105369898757. The reversal of 105369898752 is 257898963501.
105369898752 is a `hidden beast` number, since 1 + 0 + 536 + 9 + 8 + 98 + 7 + 5 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (105369898747) and next prime (105369898757).
It is a super-2 number, since 2×1053698987522 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 105369898752.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105369898757) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464184463 + ... + 464184689.
Almost surely, 2105369898752 is an apocalyptic number.
105369898752 is a gapful number since it is divisible by the number (12) 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 105369898752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161493136896).
105369898752 is an abundant number, since it is smaller than the sum of its proper divisors (217616375040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105369898752 is a wasteful number, since it uses less digits than its factorization.
105369898752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 444 (or 427 counting only the distinct ones).
The product of its (nonzero) digits is 32659200, while the sum is 63.
The spelling of 105369898752 in words is "one hundred five billion, three hundred sixty-nine million, eight hundred ninety-eight thousand, seven hundred fifty-two".
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