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9972567073 = 72819124847
BaseRepresentation
bin10010100100110100…
…10100110000100001
3221202000010220020001
421102122110300201
5130410434121243
64325322420001
7502062264400
oct112232246041
927660126201
109972567073
114258288277
121b23961601
13c2c103a81
146a8661637
153d578ea4d
hex252694c21

9972567073 has 12 divisors (see below), whose sum is σ = 11602624512. Its totient is φ = 8546527080.

The previous prime is 9972567071. The next prime is 9972567083. The reversal of 9972567073 is 3707652799.

It is a happy number.

It is not a de Polignac number, because 9972567073 - 21 = 9972567071 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9972567071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388936 + ... + 413782.

It is an arithmetic number, because the mean of its divisors is an integer number (966885376).

Almost surely, 29972567073 is an apocalyptic number.

It is an amenable number.

9972567073 is a deficient number, since it is larger than the sum of its proper divisors (1630057439).

9972567073 is a wasteful number, since it uses less digits than its factorization.

9972567073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33052 (or 33045 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 55.

The square root of 9972567073 is about 99862.7411650612. The cubic root of 9972567073 is about 2152.4628041251.

The spelling of 9972567073 in words is "nine billion, nine hundred seventy-two million, five hundred sixty-seven thousand, seventy-three".

Divisors: 1 7 49 8191 24847 57337 173929 401359 1217503 203521777 1424652439 9972567073