| Base | Representation |
|---|---|
| bin | 10011100011011110… |
| … | …11010111010000000 |
| 3 | 1000002122012100200000 |
| 4 | 21301233122322000 |
| 5 | 133000014102401 |
| 6 | 4453420400000 |
| 7 | 521104102530 |
| oct | 116157327200 |
| 9 | 30078170600 |
| 10 | 10498190976 |
| 11 | 44a7a56299 |
| 12 | 204b9a6000 |
| 13 | cb3c8b030 |
| 14 | 7183a74c0 |
| 15 | 4169ba186 |
| hex | 271bdae80 |
10498190976 has 384 divisors, whose sum is σ = 38568566400. Its totient is φ = 2768007168.
The previous prime is 10498190971. The next prime is 10498190977. The reversal of 10498190976 is 67909189401.
10498190976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×104981909762 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (10498190971) 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 47 ways as a sum of consecutive naturals, for example, 2828610 + ... + 2832318.
It is an arithmetic number, because the mean of its divisors is an integer number (100438975).
Almost surely, 210498190976 is an apocalyptic number.
10498190976 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 10498190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284283200).
10498190976 is an abundant number, since it is smaller than the sum of its proper divisors (28070375424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10498190976 is an equidigital number, since it uses as much as digits as its factorization.
10498190976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3758 (or 3734 counting only the distinct ones).
The product of its (nonzero) digits is 979776, while the sum is 54.
The spelling of 10498190976 in words is "ten billion, four hundred ninety-eight million, one hundred ninety thousand, nine hundred seventy-six".
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