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82305170642 = 2172119332
BaseRepresentation
bin100110010100111000…
…1010011110011010010
321212102222200212122102
41030221301103303102
52322030110430032
6101451021240402
75642412256502
oct1145161236322
9255388625572
1082305170642
11319a6139992
1213b4ba03102
1379b889a606
143daad91a02
15221aa62362
hex1329c53cd2

82305170642 has 18 divisors (see below), whose sum is σ = 131158157583. Its totient is φ = 38728599232.

The previous prime is 82305170639. The next prime is 82305170683. The reversal of 82305170642 is 24607150328.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 81311092801 + 994077841 = 285151^2 + 31529^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=202861.

It is a super-2 number, since 2×823051706422 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82305170596 and 82305170605.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6891308 + ... + 6903240.

Almost surely, 282305170642 is an apocalyptic number.

82305170642 is a deficient number, since it is larger than the sum of its proper divisors (48852986941).

82305170642 is an frugal number, since it uses more digits than its factorization.

82305170642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23902 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 82305170642 in words is "eighty-two billion, three hundred five million, one hundred seventy thousand, six hundred forty-two".

Divisors: 1 2 17 34 289 578 11933 23866 202861 405722 3448637 6897274 142396489 284792978 2420740313 4841480626 41152585321 82305170642