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82695053345 = 51572673997
BaseRepresentation
bin100110100000100000…
…0100110000000100001
321220110011022222011112
41031001000212000201
52323324413201340
6101553425553105
75655155232662
oct1150100460041
9256404288145
1082695053345
11320862245a3
121403a4a5795
137a4b5a8b38
144006a81369
15223edc8065
hex1341026021

82695053345 has 24 divisors (see below), whose sum is σ = 100118868984. Its totient is φ = 65571158016.

The previous prime is 82695053321. The next prime is 82695053383. The reversal of 82695053345 is 54335059628.

It can be written as a sum of positive squares in 12 ways, for example, as 23602791424 + 59092261921 = 153632^2 + 243089^2 .

It is not a de Polignac number, because 82695053345 - 26 = 82695053281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82695053293 and 82695053302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82943387 + ... + 82944383.

It is an arithmetic number, because the mean of its divisors is an integer number (4171619541).

Almost surely, 282695053345 is an apocalyptic number.

It is an amenable number.

82695053345 is a deficient number, since it is larger than the sum of its proper divisors (17423815639).

82695053345 is an equidigital number, since it uses as much as digits as its factorization.

82695053345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 50.

The spelling of 82695053345 in words is "eighty-two billion, six hundred ninety-five million, fifty-three thousand, three hundred forty-five".

Divisors: 1 5 157 673 785 997 3365 4985 24649 105661 123245 156529 528305 670981 782645 3354905 16588777 24575053 82943885 105344017 122875265 526720085 16539010669 82695053345