Search a number
-
+
12794452110 = 23251117799623
BaseRepresentation
bin10111110101001101…
…11101100010001110
31020000200000111202200
423322212331202032
5202200334431420
65513325302330
7632026022436
oct137246754216
936020014680
1012794452110
115476153270
122590a049a6
13128b92442b
148953412c6
154ed39db90
hex2fa9bd88e

12794452110 has 192 divisors, whose sum is σ = 38914836480. Its totient is φ = 2881981440.

The previous prime is 12794452103. The next prime is 12794452201. The reversal of 12794452110 is 1125449721.

12794452110 is a `hidden beast` number, since 1 + 2 + 7 + 94 + 452 + 110 = 666.

It is a Curzon number.

It is a congruent number.

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, 1324759 + ... + 1334381.

It is an arithmetic number, because the mean of its divisors is an integer number (202681440).

Almost surely, 212794452110 is an apocalyptic number.

12794452110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12794452110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19457418240).

12794452110 is an abundant number, since it is smaller than the sum of its proper divisors (26120384370).

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

12794452110 is a wasteful number, since it uses less digits than its factorization.

12794452110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12794452110 in words is "twelve billion, seven hundred ninety-four million, four hundred fifty-two thousand, one hundred ten".