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9971540997 = 311417369949
BaseRepresentation
bin10010100100101100…
…11010010000000101
3221201221012202201020
421102112122100011
5130410203302442
64325244421353
7502050462045
oct112226322005
927657182636
109971540997
114257747380
121b23547859
13c2bb34a22
146a8475725
153d563a9ec
hex25259a405

9971540997 has 16 divisors (see below), whose sum is σ = 14857819200. Its totient is φ = 5895958400.

The previous prime is 9971540987. The next prime is 9971541037. The reversal of 9971540997 is 7990451799.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 9971540997 - 24 = 9971540981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9971540997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971540987) 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 15 ways as a sum of consecutive naturals, for example, 3683622 + ... + 3686327.

It is an arithmetic number, because the mean of its divisors is an integer number (928613700).

Almost surely, 29971540997 is an apocalyptic number.

It is an amenable number.

9971540997 is a deficient number, since it is larger than the sum of its proper divisors (4886278203).

9971540997 is a wasteful number, since it uses less digits than its factorization.

9971540997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370004.

The product of its (nonzero) digits is 6429780, while the sum is 60.

The square root of 9971540997 is about 99857.6036013282. The cubic root of 9971540997 is about 2152.3889793964.

The spelling of 9971540997 in words is "nine billion, nine hundred seventy-one million, five hundred forty thousand, nine hundred ninety-seven".

Divisors: 1 3 11 33 41 123 451 1353 7369949 22109847 81069439 243208317 302167909 906503727 3323846999 9971540997