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105339382794 = 23317114748783
BaseRepresentation
bin110001000011010110…
…1110110110000001010
3101001220021122002111000
41202012231312300022
53211213340222134
6120220420315430
710416256660122
oct1420655666012
9331807562430
10105339382794
1140746376458
12184b9b42b76
139c19a77a49
145154227c82
152b17d7de99
hex1886b76c0a

105339382794 has 32 divisors (see below), whose sum is σ = 247857373440. Its totient is φ = 33047649216.

The previous prime is 105339382789. The next prime is 105339382801. The reversal of 105339382794 is 497283933501.

105339382794 is a `hidden beast` number, since 1 + 0 + 5 + 339 + 38 + 279 + 4 = 666.

It is a super-2 number, since 2×1053393827942 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 105339382794.

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 15 ways as a sum of consecutive naturals, for example, 57373474 + ... + 57375309.

It is an arithmetic number, because the mean of its divisors is an integer number (7745542920).

Almost surely, 2105339382794 is an apocalyptic number.

105339382794 is an abundant number, since it is smaller than the sum of its proper divisors (142517990646).

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

105339382794 is a wasteful number, since it uses less digits than its factorization.

105339382794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114748811 (or 114748805 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 105339382794 in words is "one hundred five billion, three hundred thirty-nine million, three hundred eighty-two thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 114748783 229497566 344246349 688492698 1032739047 1950729311 2065478094 3098217141 3901458622 5852187933 6196434282 11704375866 17556563799 35113127598 52669691397 105339382794