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82195301773 = 1361710247513
BaseRepresentation
bin100110010001100111…
…0001100010110001101
321212011022221221220001
41030203032030112031
52321313444124043
6101432054324301
75636606352214
oct1144316142615
9255138857801
1082195301773
113194a117872
1213b1b059691
13799bbacb50
143d9a55207b
1522110ad74d
hex132338c58d

82195301773 has 8 divisors (see below), whose sum is σ = 88661491128. Its totient is φ = 75749608704.

The previous prime is 82195301759. The next prime is 82195301777. The reversal of 82195301773 is 37710359128.

It can be written as a sum of positive squares in 4 ways, for example, as 123365449 + 82071936324 = 11107^2 + 286482^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82195301773 - 213 = 82195293581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82195301777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5115736 + ... + 5131777.

It is an arithmetic number, because the mean of its divisors is an integer number (11082686391).

Almost surely, 282195301773 is an apocalyptic number.

It is an amenable number.

82195301773 is a deficient number, since it is larger than the sum of its proper divisors (6466189355).

82195301773 is a wasteful number, since it uses less digits than its factorization.

82195301773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248143.

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 82195301773 in words is "eighty-two billion, one hundred ninety-five million, three hundred one thousand, seven hundred seventy-three".

Divisors: 1 13 617 8021 10247513 133217669 6322715521 82195301773