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242260216506 = 2327111231141991
BaseRepresentation
bin1110000110011111010…
…1011000101010111010
3212011022112100010011100
43201213311120222322
512432122103412011
6303143125112230
723334301602210
oct3414765305272
9764275303140
10242260216506
1193818638370
123ab50558676
1319aca727749
14ba22922cb0
15647d5bed56
hex3867d58aba

242260216506 has 96 divisors (see below), whose sum is σ = 654953435136. Its totient is φ = 62873172000.

The previous prime is 242260216397. The next prime is 242260216537. The reversal of 242260216506 is 605612062242.

242260216506 is a `hidden beast` number, since 2 + 42 + 2 + 602 + 1 + 6 + 5 + 0 + 6 = 666.

It is a Curzon 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, 1635171 + ... + 1777161.

It is an arithmetic number, because the mean of its divisors is an integer number (6822431616).

Almost surely, 2242260216506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242260216506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327476717568).

242260216506 is an abundant number, since it is smaller than the sum of its proper divisors (412693218630).

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

242260216506 is a wasteful number, since it uses less digits than its factorization.

242260216506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143248 (or 143245 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 242260216506 its reverse (605612062242), we get a palindrome (847872278748).

The spelling of 242260216506 in words is "two hundred forty-two billion, two hundred sixty million, two hundred sixteen thousand, five hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1231 1386 2462 3693 7386 8617 11079 13541 17234 22158 25851 27082 40623 51702 77553 81246 94787 121869 141991 155106 189574 243738 283982 284361 425973 568722 851946 853083 993937 1277919 1561901 1706166 1987874 2555838 2981811 3123802 4685703 5963622 8945433 9371406 10933307 14057109 17890866 21866614 28114218 32799921 65599842 98399763 174790921 196799526 349581842 524372763 1048745526 1223536447 1573118289 1922700131 2447072894 3146236578 3670609341 3845400262 5768100393 7341218682 11011828023 11536200786 13458900917 17304301179 22023656046 26917801834 34608602358 40376702751 80753405502 121130108253 242260216506