Search a number
-
+
12442510116 = 223461972
BaseRepresentation
bin10111001011010000…
…11010001100100100
31012010010210000010000
423211220122030210
5200440240310431
65414354101300
7620223406461
oct134550321444
935103700100
1012442510116
115305522013
1224b2b7a830
131233a3b32a
148606ca668
154cc52e9e6
hex2e5a1a324

12442510116 has 45 divisors (see below), whose sum is σ = 32532428929. Its totient is φ = 4146834096.

The previous prime is 12442510099. The next prime is 12442510139. The reversal of 12442510116 is 61101524421.

The square root of 12442510116 is 111546.

It is a perfect power (a square), and thus also a powerful number.

12442510116 is a `hidden beast` number, since 124 + 425 + 1 + 0 + 116 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4890204900 + 7552305216 = 69930^2 + 86904^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12442510116.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2004730 + ... + 2010926.

Almost surely, 212442510116 is an apocalyptic number.

12442510116 is the 111546-th square number.

It is an amenable number.

12442510116 is an abundant number, since it is smaller than the sum of its proper divisors (20089918813).

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

12442510116 is an frugal number, since it uses more digits than its factorization.

12442510116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12442510116 in words is "twelve billion, four hundred forty-two million, five hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 6197 12394 18591 24788 37182 55773 74364 111546 167319 223092 334638 501957 669276 1003914 2007828 38402809 76805618 115208427 153611236 230416854 345625281 460833708 691250562 1036875843 1382501124 2073751686 3110627529 4147503372 6221255058 12442510116