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105671831466 = 2361288720851
BaseRepresentation
bin110001001101010001…
…0000010111110101010
3101002202110012020022210
41202122202002332222
53212403442101331
6120313414025550
710430434514205
oct1423242027652
9332673166283
10105671831466
11408a6aa3023
12185913482b6
139c708c7236
14518644693c
152b3714c446
hex189a882faa

105671831466 has 16 divisors (see below), whose sum is σ = 214808313888. Its totient is φ = 34646502000.

The previous prime is 105671831459. The next prime is 105671831471. The reversal of 105671831466 is 664138176501.

It is a super-3 number, since 3×1056718314663 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144360060 + ... + 144360791.

It is an arithmetic number, because the mean of its divisors is an integer number (13425519618).

Almost surely, 2105671831466 is an apocalyptic number.

105671831466 is an abundant number, since it is smaller than the sum of its proper divisors (109136482422).

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

105671831466 is a wasteful number, since it uses less digits than its factorization.

105671831466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288720917.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 105671831466 in words is "one hundred five billion, six hundred seventy-one million, eight hundred thirty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 61 122 183 366 288720851 577441702 866162553 1732325106 17611971911 35223943822 52835915733 105671831466