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242665718768 = 24112173724531
BaseRepresentation
bin1110001000000000000…
…0010000001111110000
3212012100210100202200122
43202000000100033300
512433434411000033
6303251252305412
723350324401434
oct3420000201760
9765323322618
10242665718768
1193a06521200
123b044312268
1319b63744605
14ba6071a9c4
1564a3ebda98
hex38800103f0

242665718768 has 60 divisors (see below), whose sum is σ = 519780705864. Its totient is φ = 109664860800.

The previous prime is 242665718767. The next prime is 242665718773. The reversal of 242665718768 is 867817566242.

It is a self number, because there is not a number n which added to its sum of digits gives 242665718768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242665718767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27338 + ... + 697193.

Almost surely, 2242665718768 is an apocalyptic number.

It is an amenable number.

242665718768 is an abundant number, since it is smaller than the sum of its proper divisors (277114987096).

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

242665718768 is a wasteful number, since it uses less digits than its factorization.

242665718768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724734 (or 724717 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 62.

The spelling of 242665718768 in words is "two hundred forty-two billion, six hundred sixty-five million, seven hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 173 176 242 346 484 692 968 1384 1903 1936 2768 3806 7612 15224 20933 30448 41866 83732 167464 334928 724531 1449062 2898124 5796248 7969841 11592496 15939682 31879364 63758728 87668251 125343863 127517456 175336502 250687726 350673004 501375452 701346008 1002750904 1378782493 1402692016 2005501808 2757564986 5515129972 11030259944 15166607423 22060519888 30333214846 60666429692 121332859384 242665718768