Search a number
-
+
12796779240 = 233257217139307
BaseRepresentation
bin10111110101011111…
…10101101011101000
31020000211101201222200
423322233311223220
5202201433413430
65513451220200
7632054554200
oct137257655350
936024351880
1012796779240
1154774a2713
122591747660
13128c25a72b
14895789400
154ed6ad460
hex2fabf5ae8

12796779240 has 576 divisors, whose sum is σ = 51762110400. Its totient is φ = 2724212736.

The previous prime is 12796779211. The next prime is 12796779277. The reversal of 12796779240 is 4297769721.

12796779240 is a `hidden beast` number, since 1 + 279 + 67 + 79 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41683167 + ... + 41683473.

It is an arithmetic number, because the mean of its divisors is an integer number (89864775).

Almost surely, 212796779240 is an apocalyptic number.

12796779240 is a gapful number since it is divisible by the number (10) 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 12796779240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25881055200).

12796779240 is an abundant number, since it is smaller than the sum of its proper divisors (38965331160).

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

12796779240 is a wasteful number, since it uses less digits than its factorization.

12796779240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 12796779240 in words is "twelve billion, seven hundred ninety-six million, seven hundred seventy-nine thousand, two hundred forty".