| Base | Representation |
|---|---|
| bin | 10010111001011010… |
| … | …10001000000000000 |
| 3 | 222012001011212112100 |
| 4 | 21130231101000000 |
| 5 | 131234144221301 |
| 6 | 4354413030400 |
| 7 | 506260444311 |
| oct | 113455210000 |
| 9 | 28161155470 |
| 10 | 10145304576 |
| 11 | 433683a540 |
| 12 | 1b71785400 |
| 13 | c58b34104 |
| 14 | 6c3588608 |
| 15 | 3e5a11286 |
| hex | 25cb51000 |
10145304576 has 312 divisors, whose sum is σ = 32384461824. Its totient is φ = 3034644480.
The previous prime is 10145304569. The next prime is 10145304613. The reversal of 10145304576 is 67540354101.
10145304576 is a `hidden beast` number, since 1 + 0 + 14 + 530 + 45 + 76 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10145304576.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 51498910 + ... + 51499106.
It is an arithmetic number, because the mean of its divisors is an integer number (103796352).
Almost surely, 210145304576 is an apocalyptic number.
10145304576 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 10145304576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192230912).
10145304576 is an abundant number, since it is smaller than the sum of its proper divisors (22239157248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10145304576 is a wasteful number, since it uses less digits than its factorization.
10145304576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 365 (or 340 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
Adding to 10145304576 its reverse (67540354101), we get a palindrome (77685658677).
It can be divided in two parts, 10145 and 304576, that added together give a square (314721 = 5612).
The spelling of 10145304576 in words is "ten billion, one hundred forty-five million, three hundred four thousand, five hundred seventy-six".
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