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105832600828 = 221091972514909
BaseRepresentation
bin110001010010000011…
…1010101010011111100
3101010011122201011102121
41202210013111103330
53213221121211303
6120341355532324
710434426156433
oct1424407252374
9333148634377
10105832600828
1140979820469
121861715a0a4
139c97cc6c36
14519d93611a
152b463079bd
hex18a41d54fc

105832600828 has 48 divisors (see below), whose sum is σ = 188641807200. Its totient is φ = 51946272000.

The previous prime is 105832600823. The next prime is 105832600849. The reversal of 105832600828 is 828006238501.

It is a super-2 number, since 2×1058326008282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105832600823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21556438 + ... + 21561346.

It is an arithmetic number, because the mean of its divisors is an integer number (3930037650).

Almost surely, 2105832600828 is an apocalyptic number.

It is an amenable number.

105832600828 is a deficient number, since it is larger than the sum of its proper divisors (82809206372).

105832600828 is a wasteful number, since it uses less digits than its factorization.

105832600828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 105832600828 in words is "one hundred five billion, eight hundred thirty-two million, six hundred thousand, eight hundred twenty-eight".

Divisors: 1 2 4 109 197 218 251 394 436 502 788 1004 4909 9818 19636 21473 27359 42946 49447 54718 85892 98894 109436 197788 535081 967073 1070162 1232159 1934146 2140324 2464318 3868292 4928636 5389723 10779446 21558892 105410957 134305331 210821914 242735323 268610662 421643828 485470646 537221324 970941292 26458150207 52916300414 105832600828