| Base | Representation |
|---|---|
| bin | 10011101100011111… |
| … | …01001100110100000 |
| 3 | 1000021220101002022000 |
| 4 | 21312033221212200 |
| 5 | 133123334424030 |
| 6 | 4505120044000 |
| 7 | 523012244340 |
| oct | 116617514640 |
| 9 | 30256332260 |
| 10 | 10573748640 |
| 11 | 4536672944 |
| 12 | 2071163600 |
| 13 | cc6824400 |
| 14 | 724434d20 |
| 15 | 41d442860 |
| hex | 2763e99a0 |
10573748640 has 576 divisors, whose sum is σ = 45820857600. Its totient is φ = 2229866496.
The previous prime is 10573748629. The next prime is 10573748641. The reversal of 10573748640 is 4684737501.
10573748640 is a `hidden beast` number, since 1 + 0 + 573 + 74 + 8 + 6 + 4 + 0 = 666.
10573748640 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 2×105737486402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (10573748641) 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 95 ways as a sum of consecutive naturals, for example, 5109526 + ... + 5111594.
It is an arithmetic number, because the mean of its divisors is an integer number (79550100).
Almost surely, 210573748640 is an apocalyptic number.
10573748640 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 10573748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22910428800).
10573748640 is an abundant number, since it is smaller than the sum of its proper divisors (35247108960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10573748640 is a wasteful number, since it uses less digits than its factorization.
10573748640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2126 (or 2099 counting only the distinct ones).
The product of its (nonzero) digits is 564480, while the sum is 45.
The spelling of 10573748640 in words is "ten billion, five hundred seventy-three million, seven hundred forty-eight thousand, six hundred forty".
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