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9972503657 is a prime number
BaseRepresentation
bin10010100100110100…
…00101010001101001
3221202000000200020022
421102122011101221
5130410430104112
64325321210225
7502061611454
oct112232052151
927660020208
109972503657
114258244666
121b23930975
13c2c0b0c4c
146a864649b
153d577ad72
hex252685469

9972503657 has 2 divisors, whose sum is σ = 9972503658. Its totient is φ = 9972503656.

The previous prime is 9972503633. The next prime is 9972503719. The reversal of 9972503657 is 7563052799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5528814736 + 4443688921 = 74356^2 + 66661^2 .

It is a cyclic number.

It is not a de Polignac number, because 9972503657 - 212 = 9972499561 is a prime.

It is a super-3 number, since 3×99725036573 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9972503599 and 9972503608.

It is not a weakly prime, because it can be changed into another prime (9972503257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986251828 + 4986251829.

It is an arithmetic number, because the mean of its divisors is an integer number (4986251829).

Almost surely, 29972503657 is an apocalyptic number.

It is an amenable number.

9972503657 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972503657 is an equidigital number, since it uses as much as digits as its factorization.

9972503657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3572100, while the sum is 53.

The square root of 9972503657 is about 99862.4236487379. The cubic root of 9972503657 is about 2152.4582415797.

The spelling of 9972503657 in words is "nine billion, nine hundred seventy-two million, five hundred three thousand, six hundred fifty-seven".