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105000424544 = 2537586115131
BaseRepresentation
bin110000111001010000…
…0110101010001100000
3101001000122211020011202
41201302200311101200
53210020102041134
6120123031300332
710405002611501
oct1416240652140
9331018736152
10105000424544
1140592003074
121842451a6a8
139b94789632
1451211d2ba8
152ae8226d7e
hex1872835460

105000424544 has 48 divisors (see below), whose sum is σ = 212356858896. Its totient is φ = 51069196800.

The previous prime is 105000424531. The next prime is 105000424559. The reversal of 105000424544 is 445424000501.

It is a super-2 number, since 2×1050004245442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6931859 + ... + 6946989.

It is an arithmetic number, because the mean of its divisors is an integer number (4424101227).

Almost surely, 2105000424544 is an apocalyptic number.

It is an amenable number.

105000424544 is an abundant number, since it is smaller than the sum of its proper divisors (107356434352).

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

105000424544 is a wasteful number, since it uses less digits than its factorization.

105000424544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21039 (or 21031 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 105000424544 in words is "one hundred five billion, four hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 5861 11722 15131 23444 30262 46888 60524 93776 121048 187552 216857 242096 433714 484192 559847 867428 1119694 1734856 2239388 3469712 4478776 6939424 8957552 17915104 88682791 177365582 354731164 709462328 1418924656 2837849312 3281263267 6562526534 13125053068 26250106136 52500212272 105000424544