Search a number
-
+
82292999432 = 2372144892
BaseRepresentation
bin100110010100100001…
…0111000010100001000
321212102010210111212212
41030221002320110020
52322014001440212
6101445504324252
75642203645100
oct1145102702410
9255363714785
1082292999432
113199a286536
1213b47913688
1379b61c8707
143da9504200
15221995ae22
hex13290b8508

82292999432 has 36 divisors (see below), whose sum is σ = 179503497405. Its totient is φ = 35265994176.

The previous prime is 82292999419. The next prime is 82292999447. The reversal of 82292999432 is 23499929228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 70094680516 + 12198318916 = 264754^2 + 110446^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=202846.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5672444 + ... + 5686932.

Almost surely, 282292999432 is an apocalyptic number.

It is an amenable number.

82292999432 is an abundant number, since it is smaller than the sum of its proper divisors (97210497973).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82292999432 is an frugal number, since it uses more digits than its factorization.

82292999432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28998 (or 14498 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 59.

The spelling of 82292999432 in words is "eighty-two billion, two hundred ninety-two million, nine hundred ninety-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 14489 28978 57956 101423 115912 202846 405692 709961 811384 1419922 2839844 5679688 209931121 419862242 839724484 1469517847 1679448968 2939035694 5878071388 10286624929 11756142776 20573249858 41146499716 82292999432