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9972116632 = 2317531383479
BaseRepresentation
bin10010100100110001…
…00110110010011000
3221201222022000100001
421102120212302120
5130410330213012
64325305022344
7502055410222
oct112230466230
927658260301
109972116632
114257aaa905
121b237849b4
13c2bca6a3a
146a8585412
153d5701357
hex252626c98

9972116632 has 32 divisors (see below), whose sum is σ = 20171138400. Its totient is φ = 4604214784.

The previous prime is 9972116629. The next prime is 9972116633. The reversal of 9972116632 is 2366112799.

It is a happy number.

It is a super-2 number, since 2×99721166322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972116633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684532 + ... + 698947.

It is an arithmetic number, because the mean of its divisors is an integer number (630348075).

Almost surely, 29972116632 is an apocalyptic number.

It is an amenable number.

9972116632 is an abundant number, since it is smaller than the sum of its proper divisors (10199021768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9972116632 is a wasteful number, since it uses less digits than its factorization.

9972116632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383555 (or 1383551 counting only the distinct ones).

The product of its digits is 244944, while the sum is 46.

The square root of 9972116632 is about 99860.4858389944. The cubic root of 9972116632 is about 2152.4303961507.

The spelling of 9972116632 in words is "nine billion, nine hundred seventy-two million, one hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 17 34 53 68 106 136 212 424 901 1802 3604 7208 1383479 2766958 5533916 11067832 23519143 47038286 73324387 94076572 146648774 188153144 293297548 586595096 1246514579 2493029158 4986058316 9972116632