Search a number
-
+
18741192704 = 211138392
BaseRepresentation
bin10001011101000011…
…111110100000000000
31210101002212020021022
4101131003332200000
5301340221131304
612335400445012
71232265336533
oct213503764000
953332766238
1018741192704
117a47a07513
123770479768
1319c8963350
14c9b048a1a
1574a4b5ebe
hex45d0fe800

18741192704 has 72 divisors (see below), whose sum is σ = 40403948130. Its totient is φ = 8639471616.

The previous prime is 18741192703. The next prime is 18741192721. The reversal of 18741192704 is 40729114781.

It can be written as a sum of positive squares in only one way, i.e., 18020377600 + 720815104 = 134240^2 + 26848^2 .

It is not an unprimeable number, because it can be changed into a prime (18741192703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22337117 + ... + 22337955.

Almost surely, 218741192704 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 18741192704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201974065).

18741192704 is an abundant number, since it is smaller than the sum of its proper divisors (21662755426).

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

18741192704 is an frugal number, since it uses more digits than its factorization.

18741192704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 18741192704 in words is "eighteen billion, seven hundred forty-one million, one hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 839 1024 1664 1678 2048 3328 3356 6656 6712 10907 13312 13424 21814 26624 26848 43628 53696 87256 107392 174512 214784 349024 429568 698048 703921 859136 1396096 1407842 1718272 2792192 2815684 5584384 5631368 9150973 11168768 11262736 18301946 22337536 22525472 36603892 45050944 73207784 90101888 146415568 180203776 292831136 360407552 585662272 720815104 1171324544 1441630208 2342649088 4685298176 9370596352 18741192704