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242060630027616 = 2532231091877178613
BaseRepresentation
bin110111000010011100100001…
…110111011110110101100000
31011202001202210111111110000100
4313002130201313132311200
5223211410132241340431
62214453041314422400
7101662206031535331
oct6702344167366540
91152052714443010
10242060630027616
1170145378163344
1223194b7b291a00
13a50b2b122819a
1443abb22da4288
151ceb84498b4e6
hexdc2721dded60

242060630027616 has 288 divisors, whose sum is σ = 725268662838720. Its totient is φ = 76429520842752.

The previous prime is 242060630027597. The next prime is 242060630027621. The reversal of 242060630027616 is 616720036060242.

242060630027616 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 6 + 0 + 6 + 3 + 0 + 0 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355134726 + ... + 1355313338.

It is an arithmetic number, because the mean of its divisors is an integer number (2518293968190).

Almost surely, 2242060630027616 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 242060630027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362634331419360).

242060630027616 is an abundant number, since it is smaller than the sum of its proper divisors (483208032811104).

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

242060630027616 is a wasteful number, since it uses less digits than its factorization.

242060630027616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180638 (or 180627 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 242060630027616 its reverse (616720036060242), we get a palindrome (858780666087858).

The spelling of 242060630027616 in words is "two hundred forty-two trillion, sixty billion, six hundred thirty million, twenty-seven thousand, six hundred sixteen".