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105044246046 = 23231415345329
BaseRepresentation
bin110000111010100011…
…1111111111000011110
3101001010201021120222100
41201311013333320132
53210112311333141
6120131234425530
710406044234125
oct1416507777036
9331121246870
10105044246046
1140604813893
12184371322a6
139ba089070c
145126d5cabc
152aebed10b6
hex18751ffe1e

105044246046 has 48 divisors (see below), whose sum is σ = 234999423360. Its totient is φ = 33876334080.

The previous prime is 105044246017. The next prime is 105044246053. The reversal of 105044246046 is 640642440501.

105044246046 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 4 + 42 + 4 + 604 + 6 = 666.

It is a super-2 number, since 2×1050442460462 (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 105044246046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294710 + ... + 2340038.

It is an arithmetic number, because the mean of its divisors is an integer number (4895821320).

Almost surely, 2105044246046 is an apocalyptic number.

105044246046 is an abundant number, since it is smaller than the sum of its proper divisors (129955177314).

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

105044246046 is a wasteful number, since it uses less digits than its factorization.

105044246046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49521 (or 49518 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 105044246046 its reverse (640642440501), we get a palindrome (745686686547).

The spelling of 105044246046 in words is "one hundred five billion, forty-four million, two hundred forty-six thousand, forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 4153 8306 12459 24918 37377 45329 74754 90658 128743 135987 257486 271974 386229 407961 772458 815922 1158687 1405199 2317374 2810398 4215597 8431194 12646791 25293582 188251337 376502674 564754011 1129508022 1694262033 3388524066 5835791447 11671582894 17507374341 35014748682 52522123023 105044246046