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10842533604 = 22327259104179
BaseRepresentation
bin10100001100100001…
…11110111011100100
31000222122010202221200
422012100332323210
5134201142033404
64551521042500
7532455005100
oct120620767344
930878122850
1010842533604
114664366a81
122127186430
13103a413176
1474c000900
15436d37839
hex28643eee4

10842533604 has 108 divisors (see below), whose sum is σ = 32422899600. Its totient is φ = 3045331296.

The previous prime is 10842533573. The next prime is 10842533623. The reversal of 10842533604 is 40633524801.

10842533604 is a `hidden beast` number, since 1 + 0 + 8 + 42 + 5 + 3 + 3 + 604 = 666.

10842533604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 51987 + ... + 156165.

Almost surely, 210842533604 is an apocalyptic number.

10842533604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10842533604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211449800).

10842533604 is an abundant number, since it is smaller than the sum of its proper divisors (21580365996).

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

10842533604 is a wasteful number, since it uses less digits than its factorization.

10842533604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104262 (or 104250 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 10842 and 533604, that added together give a triangular number (544446 = T1043).

The spelling of 10842533604 in words is "ten billion, eight hundred forty-two million, five hundred thirty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 354 413 441 531 588 708 826 882 1062 1239 1652 1764 2124 2478 2891 3717 4956 5782 7434 8673 11564 14868 17346 26019 34692 52038 104076 104179 208358 312537 416716 625074 729253 937611 1250148 1458506 1875222 2187759 2917012 3750444 4375518 5104771 6146561 6563277 8751036 10209542 12293122 13126554 15314313 18439683 20419084 24586244 26253108 30628626 36879366 43025927 45942939 55319049 61257252 73758732 86051854 91885878 110638098 129077781 172103708 183771756 221276196 258155562 301181489 387233343 516311124 602362978 774466686 903544467 1204725956 1548933372 1807088934 2710633401 3614177868 5421266802 10842533604