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105260814256 = 2413506061607
BaseRepresentation
bin110001000001000001…
…0001000111110110000
3101001200210210101201011
41202002002020332300
53211033232024011
6120204532320304
710414314105253
oct1420202107660
9331623711634
10105260814256
1140705a92784
1218497773094
139c066c90a0
145147a1509a
152b1100e621
hex1882088fb0

105260814256 has 20 divisors (see below), whose sum is σ = 219630737872. Its totient is φ = 48581914176.

The previous prime is 105260814229. The next prime is 105260814257. The reversal of 105260814256 is 652418062501.

It is a super-2 number, since 2×1052608142562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105260814257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253030596 + ... + 253031011.

Almost surely, 2105260814256 is an apocalyptic number.

105260814256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105260814256 is an abundant number, since it is smaller than the sum of its proper divisors (114369923616).

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

105260814256 is a wasteful number, since it uses less digits than its factorization.

105260814256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506061628 (or 506061622 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

Adding to 105260814256 its reverse (652418062501), we get a palindrome (757678876757).

The spelling of 105260814256 in words is "one hundred five billion, two hundred sixty million, eight hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 506061607 1012123214 2024246428 4048492856 6578800891 8096985712 13157601782 26315203564 52630407128 105260814256