| Base | Representation |
|---|---|
| bin | 10010111110111010… |
| … | …11100111000000000 |
| 3 | 222022021002100210100 |
| 4 | 21133131130320000 |
| 5 | 131333010144220 |
| 6 | 4403143002400 |
| 7 | 510361145316 |
| oct | 113735347000 |
| 9 | 28267070710 |
| 10 | 10191490560 |
| 11 | 435a915779 |
| 12 | 1b85139400 |
| 13 | c655854b4 |
| 14 | 6c976c0b6 |
| 15 | 3e9ad5d90 |
| hex | 25f75ce00 |
10191490560 has 480 divisors, whose sum is σ = 38403256320. Its totient is φ = 2488320000.
The previous prime is 10191490559. The next prime is 10191490571. The reversal of 10191490560 is 6509419101.
10191490560 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 1 + 4 + 90 + 560 = 666.
10191490560 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 (480).
It is a super-2 number, since 2×101914905602 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 47 ways as a sum of consecutive naturals, for example, 13570185 + ... + 13570935.
It is an arithmetic number, because the mean of its divisors is an integer number (80006784).
Almost surely, 210191490560 is an apocalyptic number.
10191490560 is a gapful number since it is divisible by the number (10) 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 10191490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201628160).
10191490560 is an abundant number, since it is smaller than the sum of its proper divisors (28211765760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10191490560 is a wasteful number, since it uses less digits than its factorization.
10191490560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 830 (or 811 counting only the distinct ones).
The product of its (nonzero) digits is 9720, while the sum is 36.
The spelling of 10191490560 in words is "ten billion, one hundred ninety-one million, four hundred ninety thousand, five hundred sixty".
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