Search a number
-
+
82697845984 = 25131258915791
BaseRepresentation
bin100110100000100101…
…1001111110011100000
321220110100120211221121
41031001023033303200
52323331122032414
6101554005502024
75655221043535
oct1150113176340
9256410524847
1082697845984
1132087861766
121403b411914
137a4c045ca0
1440071aad8c
15224027a724
hex13412cfce0

82697845984 has 48 divisors (see below), whose sum is σ = 175360368960. Its totient is φ = 38162787840.

The previous prime is 82697845931. The next prime is 82697845999. The reversal of 82697845984 is 48954879628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5229129 + ... + 5244919.

It is an arithmetic number, because the mean of its divisors is an integer number (3653341020).

Almost surely, 282697845984 is an apocalyptic number.

It is an amenable number.

82697845984 is an abundant number, since it is smaller than the sum of its proper divisors (92662522976).

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

82697845984 is a wasteful number, since it uses less digits than its factorization.

82697845984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28403 (or 28395 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 70.

The spelling of 82697845984 in words is "eighty-two billion, six hundred ninety-seven million, eight hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 12589 15791 25178 31582 50356 63164 100712 126328 163657 201424 205283 252656 327314 402848 410566 505312 654628 821132 1309256 1642264 2618512 3284528 5237024 6569056 198792899 397585798 795171596 1590343192 2584307687 3180686384 5168615374 6361372768 10337230748 20674461496 41348922992 82697845984