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9927945517 = 723159110777
BaseRepresentation
bin10010011111100000…
…00110110100101101
3221121220011212221211
421033300012310231
5130313023224032
64321050154421
7501011100400
oct111760066455
927556155854
109927945517
114235080456
121b10a22a11
13c22aac799
146a2767d37
153d18c8747
hex24fc06d2d

9927945517 has 24 divisors (see below), whose sum is σ = 12123544320. Its totient is φ = 8095510080.

The previous prime is 9927945491. The next prime is 9927945539. The reversal of 9927945517 is 7155497299.

9927945517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9927945517 - 211 = 9927943469 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 (9927945917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34233 + ... + 145009.

It is an arithmetic number, because the mean of its divisors is an integer number (505147680).

Almost surely, 29927945517 is an apocalyptic number.

It is an amenable number.

9927945517 is a deficient number, since it is larger than the sum of its proper divisors (2195598803).

9927945517 is a wasteful number, since it uses less digits than its factorization.

9927945517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110881 (or 110874 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 58.

The square root of 9927945517 is about 99639.0762552524. The cubic root of 9927945517 is about 2149.2476557840.

The spelling of 9927945517 in words is "nine billion, nine hundred twenty-seven million, nine hundred forty-five thousand, five hundred seventeen".

Divisors: 1 7 31 49 59 217 413 1519 1829 2891 12803 89621 110777 775439 3434087 5428073 6535843 24038609 45750901 168270263 202611133 320256307 1418277931 9927945517