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29971196641 is a prime number
BaseRepresentation
bin11011111010011011…
…000010101011100001
32212100202002112121001
4123322123002223201
5442340111243031
621434002432001
72110466653021
oct337233025341
985322075531
1029971196641
111178aa60701
125985362601
132a9841b9a9
1416446aba81
15ba6339861
hex6fa6c2ae1

29971196641 has 2 divisors, whose sum is σ = 29971196642. Its totient is φ = 29971196640.

The previous prime is 29971196627. The next prime is 29971196653. The reversal of 29971196641 is 14669117992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29865024225 + 106172416 = 172815^2 + 10304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29971196641 is a prime.

It is not a weakly prime, because it can be changed into another prime (29971136641) 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 as a sum of consecutive naturals, namely, 14985598320 + 14985598321.

It is an arithmetic number, because the mean of its divisors is an integer number (14985598321).

Almost surely, 229971196641 is an apocalyptic number.

It is an amenable number.

29971196641 is a deficient number, since it is larger than the sum of its proper divisors (1).

29971196641 is an equidigital number, since it uses as much as digits as its factorization.

29971196641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1469664, while the sum is 55.

The spelling of 29971196641 in words is "twenty-nine billion, nine hundred seventy-one million, one hundred ninety-six thousand, six hundred forty-one".