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5042105334 = 234726916529
BaseRepresentation
bin1001011001000100…
…00110101111110110
3111000101121111020000
410230202012233312
540311234332314
62152153452130
7235643121360
oct45442065766
914011544200
105042105334
112158156402
12b88711046
136247b17a6
1435b901d30
151e79c2209
hex12c886bf6

5042105334 has 80 divisors (see below), whose sum is σ = 12960842400. Its totient is φ = 1435159296.

The previous prime is 5042105311. The next prime is 5042105347. The reversal of 5042105334 is 4335012405.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5042105298 and 5042105307.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 296782 + ... + 313310.

It is an arithmetic number, because the mean of its divisors is an integer number (162010530).

Almost surely, 25042105334 is an apocalyptic number.

5042105334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042105334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480421200).

5042105334 is an abundant number, since it is smaller than the sum of its proper divisors (7918737066).

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

5042105334 is a wasteful number, since it uses less digits than its factorization.

5042105334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16819 (or 16810 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5042105334 is about 71007.7836156009. The cubic root of 5042105334 is about 1714.7624763770.

Adding to 5042105334 its reverse (4335012405), we get a palindrome (9377117739).

The spelling of 5042105334 in words is "five billion, forty-two million, one hundred five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 269 378 538 567 807 1134 1614 1883 2421 3766 4842 5649 7263 11298 14526 16529 16947 21789 33058 33894 43578 49587 50841 99174 101682 115703 148761 152523 231406 297522 305046 347109 446283 694218 892566 1041327 1338849 2082654 2677698 3123981 4446301 6247962 8892602 9371943 13338903 18743886 26677806 31124107 40016709 62248214 80033418 93372321 120050127 186744642 240100254 280116963 360150381 560233926 720300762 840350889 1680701778 2521052667 5042105334