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82179107369 is a prime number
BaseRepresentation
bin100110010001001000…
…0011010101000101001
321212010012111012100022
41030202100122220221
52321300322413434
6101430315250225
75636321613212
oct1144220325051
9255105435308
1082179107369
1131940a66767
1213b15749975
13799872c968
143d98338409
15220e96022e
hex132241aa29

82179107369 has 2 divisors, whose sum is σ = 82179107370. Its totient is φ = 82179107368.

The previous prime is 82179107323. The next prime is 82179107447. The reversal of 82179107369 is 96370197128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54960706969 + 27218400400 = 234437^2 + 164980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82179107369 is a prime.

It is a super-2 number, since 2×821791073692 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82179107369.

It is not a weakly prime, because it can be changed into another prime (82179106369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41089553684 + 41089553685.

It is an arithmetic number, because the mean of its divisors is an integer number (41089553685).

Almost surely, 282179107369 is an apocalyptic number.

It is an amenable number.

82179107369 is a deficient number, since it is larger than the sum of its proper divisors (1).

82179107369 is an equidigital number, since it uses as much as digits as its factorization.

82179107369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1143072, while the sum is 53.

The spelling of 82179107369 in words is "eighty-two billion, one hundred seventy-nine million, one hundred seven thousand, three hundred sixty-nine".