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242669612480 = 265431091371181
BaseRepresentation
bin1110001000000000111…
…1000110110111000000
3212012101001200120212012
43202000033012313000
512433441410044410
6303251511552052
723350402446401
oct3420017066700
9765331616765
10242669612480
1193a08740649
123b04568b628
1319b644a8999
14ba610519a8
1564a44dc605
hex38803c6dc0

242669612480 has 224 divisors, whose sum is σ = 601584857280. Its totient is φ = 93175971840.

The previous prime is 242669612477. The next prime is 242669612503. The reversal of 242669612480 is 84216966242.

242669612480 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 31 ways as a sum of consecutive naturals, for example, 205477490 + ... + 205478670.

Almost surely, 2242669612480 is an apocalyptic number.

242669612480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242669612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300792428640).

242669612480 is an abundant number, since it is smaller than the sum of its proper divisors (358915244800).

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

242669612480 is a wasteful number, since it uses less digits than its factorization.

242669612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 242669612480 in words is "two hundred forty-two billion, six hundred sixty-nine million, six hundred twelve thousand, four hundred eighty".