Search a number
-
+
79080148368 = 24341321931613
BaseRepresentation
bin100100110100110001…
…0110100110110010000
321120010020020202210000
41021221202310312100
52243424004221433
6100155014010000
75466452112264
oct1115142646620
9246106222700
1079080148368
11305a0755a21
12133ab946900
1375c36aa700
143b829320a4
1520cc870113
hex12698b4d90

79080148368 has 600 divisors, whose sum is σ = 269740711680. Its totient is φ = 22271708160.

The previous prime is 79080148313. The next prime is 79080148379. The reversal of 79080148368 is 86384108097.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 129004830 + ... + 129005442.

Almost surely, 279080148368 is an apocalyptic number.

79080148368 is a gapful number since it is divisible by the number (78) 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 79080148368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134870355840).

79080148368 is an abundant number, since it is smaller than the sum of its proper divisors (190660563312).

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

79080148368 is a wasteful number, since it uses less digits than its factorization.

79080148368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 79080148368 in words is "seventy-nine billion, eighty million, one hundred forty-eight thousand, three hundred sixty-eight".