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82290220673 = 414782751637
BaseRepresentation
bin100110010100011100…
…0010001111010000001
321212101221120100010212
41030220320101322001
52322012244030143
6101445325003505
75642141222543
oct1145070217201
9255357510125
1082290220673
1131998758841
1213b469b3595
1379b576498b
143da8dbd693
1522195ac918
hex1328e11e81

82290220673 has 16 divisors (see below), whose sum is σ = 86196628224. Its totient is φ = 78478458240.

The previous prime is 82290220651. The next prime is 82290220687. The reversal of 82290220673 is 37602209228.

It is a cyclic number.

It is not a de Polignac number, because 82290220673 - 26 = 82290220609 is a prime.

It is a super-2 number, since 2×822902206732 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82290220673.

It is not an unprimeable number, because it can be changed into a prime (82290220273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567811 + ... + 1619447.

It is an arithmetic number, because the mean of its divisors is an integer number (5387289264).

Almost surely, 282290220673 is an apocalyptic number.

It is an amenable number.

82290220673 is a deficient number, since it is larger than the sum of its proper divisors (3906407551).

82290220673 is a wasteful number, since it uses less digits than its factorization.

82290220673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52552.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 82290220673 in words is "eighty-two billion, two hundred ninety million, two hundred twenty thousand, six hundred seventy-three".

Divisors: 1 41 47 827 1927 33907 38869 51637 1593629 2117117 2426939 42703799 99504499 1750855759 2007078553 82290220673