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4901516046 = 2327893371297
BaseRepresentation
bin1001001000010011…
…10011001100001110
3110122121001210222100
410210021303030032
540014242003141
62130212255530
7232315125150
oct44411631416
913577053870
104901516046
112095861609
12b496115a6
1360162916b
14346d86ad0
151da4a10b6
hex12427330e

4901516046 has 96 divisors (see below), whose sum is σ = 12319369920. Its totient is φ = 1379524608.

The previous prime is 4901516023. The next prime is 4901516047. The reversal of 4901516046 is 6406151094.

4901516046 is a `hidden beast` number, since 49 + 0 + 1 + 5 + 1 + 604 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4901516046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901516047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3778470 + ... + 3779766.

It is an arithmetic number, because the mean of its divisors is an integer number (128326770).

Almost surely, 24901516046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4901516046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159684960).

4901516046 is an abundant number, since it is smaller than the sum of its proper divisors (7417853874).

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

4901516046 is a wasteful number, since it uses less digits than its factorization.

4901516046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4901516046 is about 70010.8280625219. The cubic root of 4901516046 is about 1698.6744044511.

The spelling of 4901516046 in words is "four billion, nine hundred one million, five hundred sixteen thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 337 534 623 674 801 1011 1246 1297 1602 1869 2022 2359 2594 3033 3738 3891 4718 5607 6066 7077 7782 9079 11214 11673 14154 18158 21231 23346 27237 29993 42462 54474 59986 81711 89979 115433 163422 179958 209951 230866 269937 346299 419902 437089 539874 629853 692598 808031 874178 1038897 1259706 1311267 1616062 1889559 2077794 2424093 2622534 3059623 3779118 3933801 4848186 6119246 7272279 7867602 9178869 14544558 18357738 27536607 38900921 55073214 77801842 116702763 233405526 272306447 350108289 544612894 700216578 816919341 1633838682 2450758023 4901516046