Search a number
-
+
80379318600 = 23335276613217
BaseRepresentation
bin100101011011011111…
…0110001000101001000
321200110202212110022000
41022312332301011020
52304104101143400
6100531543431000
75543605635510
oct1126676610510
9250422773260
1080379318600
11310a8036829
12136b2a55460
13776c8b4aa9
143c672b8840
152156949600
hex12b6fb1148

80379318600 has 384 divisors, whose sum is σ = 316991020800. Its totient is φ = 18338918400.

The previous prime is 80379318577. The next prime is 80379318631. The reversal of 80379318600 is 681397308.

It is a happy number.

80379318600 is a `hidden beast` number, since 8 + 0 + 3 + 7 + 9 + 31 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24984192 + ... + 24987408.

It is an arithmetic number, because the mean of its divisors is an integer number (825497450).

Almost surely, 280379318600 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 80379318600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158495510400).

80379318600 is an abundant number, since it is smaller than the sum of its proper divisors (236611702200).

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

80379318600 is a wasteful number, since it uses less digits than its factorization.

80379318600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 80379318600 in words is "eighty billion, three hundred seventy-nine million, three hundred eighteen thousand, six hundred".