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9995005997 = 831075631999
BaseRepresentation
bin10010100111011111…
…11011000000101101
3221210120100220122022
421103233323000231
5130432210142442
64331443355525
7502454102114
oct112357730055
927716326568
109995005997
114269a13a39
121b2b382ba5
13c3395c342
146ab622c7b
153d77233d2
hex253bfb02d

9995005997 has 16 divisors (see below), whose sum is σ = 10233216000. Its totient is φ = 9760038192.

The previous prime is 9995005981. The next prime is 9995006009. The reversal of 9995005997 is 7995005999.

It is a cyclic number.

It is not a de Polignac number, because 9995005997 - 24 = 9995005981 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 (9995005907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999004 + ... + 5001002.

It is an arithmetic number, because the mean of its divisors is an integer number (639576000).

Almost surely, 29995005997 is an apocalyptic number.

It is an amenable number.

9995005997 is a deficient number, since it is larger than the sum of its proper divisors (238210003).

9995005997 is a wasteful number, since it uses less digits than its factorization.

9995005997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752.

The product of its (nonzero) digits is 10333575, while the sum is 62.

The square root of 9995005997 is about 99975.0268667131. The cubic root of 9995005997 is about 2154.0759885365.

The spelling of 9995005997 in words is "nine billion, nine hundred ninety-five million, five thousand, nine hundred ninety-seven".

Divisors: 1 83 107 563 1999 8881 46729 60241 165917 213893 1125437 5000003 17753119 93411271 120421759 9995005997