Search a number
-
+
82500812244 = 22323173925459
BaseRepresentation
bin100110011010101101…
…1100111110111010100
321212221121211111110200
41030311123213313110
52322430201442434
6101522250420500
75650306222254
oct1146533476724
9255847744420
1082500812244
1131a96615364
1213ba5431730
137a1a289b86
143dc8d5b964
15222cd0a199
hex13356e7dd4

82500812244 has 36 divisors (see below), whose sum is σ = 215270939520. Its totient is φ = 26613164880.

The previous prime is 82500812239. The next prime is 82500812287. The reversal of 82500812244 is 44221800528.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82500812199 and 82500812208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36961614 + ... + 36963845.

It is an arithmetic number, because the mean of its divisors is an integer number (5979748320).

Almost surely, 282500812244 is an apocalyptic number.

It is an amenable number.

82500812244 is an abundant number, since it is smaller than the sum of its proper divisors (132770127276).

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

82500812244 is a wasteful number, since it uses less digits than its factorization.

82500812244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73925500 (or 73925495 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 82500812244 in words is "eighty-two billion, five hundred million, eight hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 73925459 147850918 221776377 295701836 443552754 665329131 887105508 1330658262 2291689229 2661316524 4583378458 6875067687 9166756916 13750135374 20625203061 27500270748 41250406122 82500812244