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79164837199873 is a prime number
BaseRepresentation
bin10010000000000000000000…
…000000000000000000000001
3101101022002021121200221220201
4102000000000000000000001
540334014041310343443
6440211454003205201
722450320315341125
oct2200000000000001
9341262247627821
1079164837199873
112325168985a257
128a66813976801
13352329b030a49
141579854665585
159243d465934d
hex480000000001

79164837199873 has 2 divisors, whose sum is σ = 79164837199874. Its totient is φ = 79164837199872.

The previous prime is 79164837199871. The next prime is 79164837199891. The reversal of 79164837199873 is 37899173846197.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55665446621184 + 23499390578689 = 7460928^2 + 4847617^2 .

It is a cyclic number.

It is not a de Polignac number, because 79164837199873 - 21 = 79164837199871 is a prime.

It is a super-2 number, since 2×791648371998732 (a number of 29 digits) contains 22 as substring.

Together with 79164837199871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (79164837199871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a Pierpont prime, being equal to 243 ⋅ 32 + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39582418599936 + 39582418599937.

It is an arithmetic number, because the mean of its divisors is an integer number (39582418599937).

It is a Proth number, since it is equal to 9 ⋅ 243 + 1 and 9 < 243.

Almost surely, 279164837199873 is an apocalyptic number.

It is an amenable number.

79164837199873 is a deficient number, since it is larger than the sum of its proper divisors (1).

79164837199873 is an equidigital number, since it uses as much as digits as its factorization.

79164837199873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456649728, while the sum is 82.

The spelling of 79164837199873 in words is "seventy-nine trillion, one hundred sixty-four billion, eight hundred thirty-seven million, one hundred ninety-nine thousand, eight hundred seventy-three".