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9972088991 = 19877598457
BaseRepresentation
bin10010100100110001…
…00000000010011111
3221201222020121102022
421102120200002133
5130410323321431
64325304250355
7502055233514
oct112230400237
927658217368
109972088991
114257a91067
121b237709bb
13c2bc97297
146a857930b
153d56e807b
hex25262009f

9972088991 has 8 divisors (see below), whose sum is σ = 10508922480. Its totient is φ = 9436454208.

The previous prime is 9972088981. The next prime is 9972088999. The reversal of 9972088991 is 1998802799.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9972088991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972088999) 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 7 ways as a sum of consecutive naturals, for example, 282566 + ... + 315891.

It is an arithmetic number, because the mean of its divisors is an integer number (1313615310).

Almost surely, 29972088991 is an apocalyptic number.

9972088991 is a deficient number, since it is larger than the sum of its proper divisors (536833489).

9972088991 is a wasteful number, since it uses less digits than its factorization.

9972088991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599353.

The product of its (nonzero) digits is 5878656, while the sum is 62.

The square root of 9972088991 is about 99860.3474408136. The cubic root of 9972088991 is about 2152.4284074260.

The spelling of 9972088991 in words is "nine billion, nine hundred seventy-two million, eighty-eight thousand, nine hundred ninety-one".

Divisors: 1 19 877 16663 598457 11370683 524846789 9972088991