Search a number
-
+
82744192416 = 253861918671
BaseRepresentation
bin100110100001111110…
…0000010110110100000
321220120120210111022010
41031003330002312200
52323430003124131
6102002343112520
75656323013404
oct1150374026640
9256516714263
1082744192416
1132100a374a6
1214052a42740
137a58822402
14400d3d3104
152244382b46
hex1343f02da0

82744192416 has 24 divisors (see below), whose sum is σ = 217203505344. Its totient is φ = 27581397440.

The previous prime is 82744192343. The next prime is 82744192417. The reversal of 82744192416 is 61429144728.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82744192417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 430959240 + ... + 430959431.

It is an arithmetic number, because the mean of its divisors is an integer number (9050146056).

Almost surely, 282744192416 is an apocalyptic number.

It is an amenable number.

82744192416 is an abundant number, since it is smaller than the sum of its proper divisors (134459312928).

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

82744192416 is a wasteful number, since it uses less digits than its factorization.

82744192416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861918684 (or 861918676 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The spelling of 82744192416 in words is "eighty-two billion, seven hundred forty-four million, one hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 861918671 1723837342 2585756013 3447674684 5171512026 6895349368 10343024052 13790698736 20686048104 27581397472 41372096208 82744192416