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242793637016 = 23721752816899
BaseRepresentation
bin1110001000011110100…
…0001110010010011000
3212012200201001200112112
43202013220032102120
512434220132341031
6303312102131452
723353436602100
oct3420750162230
9765621050475
10242793637016
1193a71751067
123b07b120b88
1319b840b1698
14ba736d8200
1564b033a62b
hex3887a0e498

242793637016 has 96 divisors (see below), whose sum is σ = 560900862000. Its totient is φ = 97900830720.

The previous prime is 242793636997. The next prime is 242793637027. The reversal of 242793637016 is 610736397242.

242793637016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35189135 + ... + 35196033.

Almost surely, 2242793637016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242793637016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280450431000).

242793637016 is an abundant number, since it is smaller than the sum of its proper divisors (318107224984).

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

242793637016 is a wasteful number, since it uses less digits than its factorization.

242793637016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 50.

The spelling of 242793637016 in words is "two hundred forty-two billion, seven hundred ninety-three million, six hundred thirty-seven thousand, sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 5281 6664 6899 10562 13798 21124 27596 36967 42248 48293 55192 73934 89777 96586 117283 147868 179554 193172 234566 258769 295736 338051 359108 386344 469132 517538 628439 676102 718216 820981 938264 1035076 1256878 1352204 1641962 2070152 2513756 2704408 3283924 4399073 5027512 5746867 6567848 8798146 11493734 17596292 22987468 35192584 36433619 45974936 72867238 145734476 255035333 291468952 510070666 619371523 1020141332 1238743046 1785247331 2040282664 2477486092 3570494662 4335600661 4954972184 7140989324 8671201322 14281978648 17342402644 30349204627 34684805288 60698409254 121396818508 242793637016