Search a number
-
+
82807246740 = 22351380120779
BaseRepresentation
bin100110100011110110…
…0100100111110010100
321220201222102222120110
41031013230210332110
52324042123343430
6102012514403020
75661016661301
oct1150754447624
9256658388513
1082807246740
1132133594109
121406bb90470
137a688cb66a
1440179280a8
152249b8a7b0
hex1347b24f94

82807246740 has 24 divisors (see below), whose sum is σ = 231860291040. Its totient is φ = 22081932448.

The previous prime is 82807246673. The next prime is 82807246751. The reversal of 82807246740 is 4764270828.

It is a happy number.

It is a super-2 number, since 2×828072467402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82807246740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690060330 + ... + 690060449.

It is an arithmetic number, because the mean of its divisors is an integer number (9660845460).

Almost surely, 282807246740 is an apocalyptic number.

It is an amenable number.

82807246740 is an abundant number, since it is smaller than the sum of its proper divisors (149053044300).

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

82807246740 is a wasteful number, since it uses less digits than its factorization.

82807246740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380120791 (or 1380120789 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 82807246740 in words is "eighty-two billion, eight hundred seven million, two hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1380120779 2760241558 4140362337 5520483116 6900603895 8280724674 13801207790 16561449348 20701811685 27602415580 41403623370 82807246740