Search a number
-
+
82192863072 = 253856175657
BaseRepresentation
bin100110010001100010…
…0111000111101100000
321212011011101001121210
41030203010320331200
52321312333104242
6101431530150120
75636546544255
oct1144304707540
9255134331553
1082192863072
1131948801611
1213b1a282340
13799b537b28
143d9a0b942c
152210c7ad9c
hex1323138f60

82192863072 has 24 divisors (see below), whose sum is σ = 215756265816. Its totient is φ = 27397620992.

The previous prime is 82192863041. The next prime is 82192863079. The reversal of 82192863072 is 27036829128.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82192863079) 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, 428087733 + ... + 428087924.

It is an arithmetic number, because the mean of its divisors is an integer number (8989844409).

Almost surely, 282192863072 is an apocalyptic number.

It is an amenable number.

82192863072 is an abundant number, since it is smaller than the sum of its proper divisors (133563402744).

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

82192863072 is a wasteful number, since it uses less digits than its factorization.

82192863072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856175670 (or 856175662 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 82192863072 in words is "eighty-two billion, one hundred ninety-two million, eight hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 856175657 1712351314 2568526971 3424702628 5137053942 6849405256 10274107884 13698810512 20548215768 27397621024 41096431536 82192863072