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813057973 = 71318149363
BaseRepresentation
bin110000011101100…
…100011110110101
32002122220121212021
4300131210132311
53131120323343
6212402353141
726101610260
oct6035443665
92078817767
10813057973
11387a4a542
121a835b7b1
13cc5a55c0
1479da7cd7
154b5a60ed
hex307647b5

813057973 has 16 divisors (see below), whose sum is σ = 1006235776. Its totient is φ = 639731520.

The previous prime is 813057907. The next prime is 813057989. The reversal of 813057973 is 379750318.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-813057973 is a prime.

It is a super-2 number, since 2×8130579732 = 1322126534917737458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813057673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8211 + ... + 41152.

It is an arithmetic number, because the mean of its divisors is an integer number (62889736).

Almost surely, 2813057973 is an apocalyptic number.

It is an amenable number.

813057973 is a deficient number, since it is larger than the sum of its proper divisors (193177803).

813057973 is a wasteful number, since it uses less digits than its factorization.

813057973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49564.

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 813057973 is about 28514.1714415832. The cubic root of 813057973 is about 933.3413444749.

The spelling of 813057973 in words is "eight hundred thirteen million, fifty-seven thousand, nine hundred seventy-three".

Divisors: 1 7 13 91 181 1267 2353 16471 49363 345541 641719 4492033 8934703 62542921 116151139 813057973