Search a number
-
+
104897374309 = 72137314091601
BaseRepresentation
bin110000110110001011…
…1101110100001100101
3101000202110220201211101
41201230113232201211
53204312211434214
6120104510440101
710402311653500
oct1415427564145
9330673821741
10104897374309
1140539918992
12183b5b03031
139b79318670
14511164a137
152ade16d774
hex186c5ee865

104897374309 has 48 divisors (see below), whose sum is σ = 133387838640. Its totient is φ = 81749606400.

The previous prime is 104897374289. The next prime is 104897374313. The reversal of 104897374309 is 903473798401.

It can be written as a sum of positive squares in 8 ways, for example, as 1758124900 + 103139249409 = 41930^2 + 321153^2 .

It is not a de Polignac number, because 104897374309 - 29 = 104897373797 is a prime.

It is a super-2 number, since 2×1048973743092 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104897374309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104897374369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65519109 + ... + 65520709.

It is an arithmetic number, because the mean of its divisors is an integer number (2778913305).

Almost surely, 2104897374309 is an apocalyptic number.

It is an amenable number.

104897374309 is a deficient number, since it is larger than the sum of its proper divisors (28490464331).

104897374309 is a wasteful number, since it uses less digits than its factorization.

104897374309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 104897374309 in words is "one hundred four billion, eight hundred ninety-seven million, three hundred seventy-four thousand, three hundred nine".

Divisors: 1 7 13 49 73 91 511 637 949 1409 1601 3577 6643 9863 11207 18317 20813 46501 69041 78449 102857 116873 128219 145691 719999 818111 897533 1019837 1337141 1519349 2255809 5039993 5726777 9359987 10635443 15790663 29325517 65519909 74448101 110534641 164674057 205278619 1152718399 1436950333 2140762741 8069028793 14985339187 104897374309