Search a number
-
+
82694476872 = 233271921140927
BaseRepresentation
bin100110100000011111…
…0011001010001001000
321220110010020200101200
41031000332121101020
52323324241224442
6101553405344200
75655150312210
oct1150076312110
9256403220350
1082694476872
1132085970477
121403a268060
137a4b436627
144006971240
15223ed1234c
hex1340f99448

82694476872 has 192 divisors, whose sum is σ = 270714163200. Its totient is φ = 22276840320.

The previous prime is 82694476871. The next prime is 82694476873. The reversal of 82694476872 is 27867449628.

82694476872 is a `hidden beast` number, since 8 + 2 + 6 + 94 + 476 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (82694476871) and next prime (82694476873).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82694476871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2000073 + ... + 2040999.

It is an arithmetic number, because the mean of its divisors is an integer number (1409969600).

Almost surely, 282694476872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82694476872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135357081600).

82694476872 is an abundant number, since it is smaller than the sum of its proper divisors (188019686328).

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

82694476872 is a wasteful number, since it uses less digits than its factorization.

82694476872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41176 (or 41169 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 82694476872 in words is "eighty-two billion, six hundred ninety-four million, four hundred seventy-six thousand, eight hundred seventy-two".