Search a number
-
+
105865381404 = 2233980235013
BaseRepresentation
bin110001010011000010…
…0011000011000011100
3101010020221101120221000
41202212010120120130
53213303014201104
6120344530310300
710435304615556
oct1424604303034
9333227346830
10105865381404
114099627aa52
1218626128390
139ca1a33723
1451a402a4d6
152b49130639
hex18a611861c

105865381404 has 24 divisors (see below), whose sum is σ = 274465803920. Its totient is φ = 35288460432.

The previous prime is 105865381403. The next prime is 105865381417. The reversal of 105865381404 is 404183568501.

105865381404 is a `hidden beast` number, since 1 + 0 + 586 + 53 + 8 + 14 + 0 + 4 = 666.

It is a super-2 number, since 2×1058653814042 (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 105865381404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105865381403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490117399 + ... + 490117614.

Almost surely, 2105865381404 is an apocalyptic number.

It is an amenable number.

105865381404 is an abundant number, since it is smaller than the sum of its proper divisors (168600422516).

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

105865381404 is a wasteful number, since it uses less digits than its factorization.

105865381404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980235026 (or 980235018 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 105865381404 in words is "one hundred five billion, eight hundred sixty-five million, three hundred eighty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 980235013 1960470026 2940705039 3920940052 5881410078 8822115117 11762820156 17644230234 26466345351 35288460468 52932690702 105865381404