Search a number
-
+
79106216112 = 243671188079
BaseRepresentation
bin100100110101100011…
…0010001000010110000
321120012001022011000000
41021223012101002300
52244002142403422
6100201344430000
75500216512450
oct1115306210260
9246161264000
1079106216112
1130604440010
12133b8618300
1375c8c06901
143b86199d60
1520cecbdcac
hex126b1910b0

79106216112 has 280 divisors, whose sum is σ = 286503805440. Its totient is φ = 20546835840.

The previous prime is 79106216099. The next prime is 79106216129. The reversal of 79106216112 is 21161260197.

79106216112 is a `hidden beast` number, since 7 + 9 + 10 + 6 + 21 + 611 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 854089 + ... + 942167.

Almost surely, 279106216112 is an apocalyptic number.

79106216112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79106216112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143251902720).

79106216112 is an abundant number, since it is smaller than the sum of its proper divisors (207397589328).

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

79106216112 is a wasteful number, since it uses less digits than its factorization.

79106216112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88123 (or 88102 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 79106216112 in words is "seventy-nine billion, one hundred six million, two hundred sixteen thousand, one hundred twelve".