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105284785040 = 2452422354331
BaseRepresentation
bin110001000001101110…
…1100101001110010000
3101001202110220020102222
41202003131211032100
53211110401110130
6120211150200212
710415024623031
oct1420335451620
9331673806388
10105284785040
1140718575346
12184a37b3068
139c0b66c996
14514ac94a88
152b13196ce5
hex1883765390

105284785040 has 40 divisors (see below), whose sum is σ = 244801736448. Its totient is φ = 42111400320.

The previous prime is 105284785009. The next prime is 105284785051. The reversal of 105284785040 is 40587482501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1052847850402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105284784982 and 105284785000.

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, 1910675 + ... + 1965005.

Almost surely, 2105284785040 is an apocalyptic number.

105284785040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105284785040 is an abundant number, since it is smaller than the sum of its proper divisors (139516951408).

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

105284785040 is a wasteful number, since it uses less digits than its factorization.

105284785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78567 (or 78561 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 44.

The spelling of 105284785040 in words is "one hundred five billion, two hundred eighty-four million, seven hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 24223 48446 54331 96892 108662 121115 193784 217324 242230 271655 387568 434648 484460 543310 869296 968920 1086620 1937840 2173240 4346480 1316059813 2632119626 5264239252 6580299065 10528478504 13160598130 21056957008 26321196260 52642392520 105284785040