Search a number
-
+
105834416250 = 235428222511
BaseRepresentation
bin110001010010000111…
…0010000100001111010
3101010011210010101201110
41202210032100201322
53213222102310000
6120341502501150
710434450460263
oct1424416204172
9333153111643
10105834416250
114097a850412
12186178947b6
139c984b1354
14519dc8996a
152b46565850
hex18a439087a

105834416250 has 40 divisors (see below), whose sum is σ = 264501382464. Its totient is φ = 28222510000.

The previous prime is 105834416081. The next prime is 105834416263. The reversal of 105834416250 is 52614438501.

It is a super-2 number, since 2×1058344162502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105834416199 and 105834416208.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14107506 + ... + 14115005.

Almost surely, 2105834416250 is an apocalyptic number.

105834416250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105834416250 is an abundant number, since it is smaller than the sum of its proper divisors (158666966214).

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

105834416250 is an equidigital number, since it uses as much as digits as its factorization.

105834416250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28222536 (or 28222521 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 105834416250 in words is "one hundred five billion, eight hundred thirty-four million, four hundred sixteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 625 750 1250 1875 3750 28222511 56445022 84667533 141112555 169335066 282225110 423337665 705562775 846675330 1411125550 2116688325 3527813875 4233376650 7055627750 10583441625 17639069375 21166883250 35278138750 52917208125 105834416250