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9972088993 = 17835592871
BaseRepresentation
bin10010100100110001…
…00000000010100001
3221201222020121102101
421102120200002201
5130410323321433
64325304250401
7502055233516
oct112230400241
927658217371
109972088993
114257a91069
121b23770a01
13c2bc97299
146a857930d
153d56e807d
hex2526200a1

9972088993 has 4 divisors (see below), whose sum is σ = 9977683648. Its totient is φ = 9966494340.

The previous prime is 9972088981. The next prime is 9972088999. The reversal of 9972088993 is 3998802799.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 9972088993 - 25 = 9972088961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9972088999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2794653 + ... + 2798218.

It is an arithmetic number, because the mean of its divisors is an integer number (2494420912).

Almost surely, 29972088993 is an apocalyptic number.

It is an amenable number.

9972088993 is a deficient number, since it is larger than the sum of its proper divisors (5594655).

9972088993 is a wasteful number, since it uses less digits than its factorization.

9972088993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594654.

The product of its (nonzero) digits is 17635968, while the sum is 64.

The square root of 9972088993 is about 99860.3474508275. The cubic root of 9972088993 is about 2152.4284075699.

It can be divided in two parts, 997 and 2088993, that added together give a triangular number (2089990 = T2044).

The spelling of 9972088993 in words is "nine billion, nine hundred seventy-two million, eighty-eight thousand, nine hundred ninety-three".

Divisors: 1 1783 5592871 9972088993