Search a number
-
+
105304793049 = 3223247032
BaseRepresentation
bin110001000010010100…
…1111001111111011001
3101001210212112202021100
41202010221321333121
53211131011334144
6120213143102013
710415356654311
oct1420451717731
9331725482240
10105304793049
11407288a0695
12184aa441909
139c12856941
14514d7c2441
152b14cea269
hex1884a79fd9

105304793049 has 27 divisors (see below), whose sum is σ = 159041621557. Its totient is φ = 67136604216.

The previous prime is 105304793039. The next prime is 105304793119. The reversal of 105304793049 is 940397403501.

The square root of 105304793049 is 324507.

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

105304793049 is a `hidden beast` number, since 1 + 0 + 530 + 4 + 79 + 3 + 0 + 49 = 666.

It is not a de Polignac number, because 105304793049 - 27 = 105304792921 is a prime.

It is a super-2 number, since 2×1053047930492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105304792995 and 105304793013.

It is not an unprimeable number, because it can be changed into a prime (105304793039) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22388632 + ... + 22393334.

Almost surely, 2105304793049 is an apocalyptic number.

105304793049 is the 324507-th square number.

105304793049 is the 162254-th centered octagonal number.

It is an amenable number.

105304793049 is a deficient number, since it is larger than the sum of its proper divisors (53736828508).

105304793049 is an frugal number, since it uses more digits than its factorization.

105304793049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9458 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 105304793049 in words is "one hundred five billion, three hundred four million, seven hundred ninety-three thousand, forty-nine".

Divisors: 1 3 9 23 69 207 529 1587 4703 4761 14109 42327 108169 324507 973521 2487887 7463661 22118209 22390983 66354627 199063881 508718807 1526156421 4578469263 11700532561 35101597683 105304793049