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5043266046 = 23271328110957
BaseRepresentation
bin1001011001001101…
…00010000111111110
3111000110210110102100
410230212202013332
540312034003141
62152234405530
7235656024360
oct45446420776
914013713370
105043266046
112158879475
12b88b908a6
13624ac9bc0
1435bb24d30
151e7b510b6
hex12c9a21fe

5043266046 has 96 divisors (see below), whose sum is σ = 13497801408. Its totient is φ = 1325237760.

The previous prime is 5043266029. The next prime is 5043266047. The reversal of 5043266046 is 6406623405.

5043266046 is a `hidden beast` number, since 5 + 0 + 43 + 2 + 6 + 604 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5043266046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5043266047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 454800 + ... + 465756.

It is an arithmetic number, because the mean of its divisors is an integer number (140602098).

Almost surely, 25043266046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5043266046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748900704).

5043266046 is an abundant number, since it is smaller than the sum of its proper divisors (8454535362).

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

5043266046 is a wasteful number, since it uses less digits than its factorization.

5043266046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11266 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5043266046 is about 71015.9562774451. The cubic root of 5043266046 is about 1714.8940479159.

It can be divided in two parts, 504 and 3266046, that multiplied together give a square (1646087184 = 405722).

The spelling of 5043266046 in words is "five billion, forty-three million, two hundred sixty-six thousand, forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 281 546 562 819 843 1638 1686 1967 2529 3653 3934 5058 5901 7306 10957 10959 11802 17703 21914 21918 25571 32871 32877 35406 51142 65742 65754 76699 76713 98613 142441 153398 153426 197226 230097 230139 284882 427323 460194 460278 690291 854646 997087 1281969 1380582 1994174 2563938 2991261 3078917 5982522 6157834 8973783 9236751 17947566 18473502 21552419 27710253 40025921 43104838 55420506 64657257 80051842 120077763 129314514 193971771 240155526 280181447 360233289 387943542 560362894 720466578 840544341 1681088682 2521633023 5043266046