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242726694420 = 2235719231677919
BaseRepresentation
bin1110001000001110100…
…0110110111000010100
3212012112001002122120010
43202003220312320110
512434101013210140
6303301311240220
723351664601140
oct3420350667024
9765461078503
10242726694420
1193a37989101
123b060819070
1319b73273692
14ba68870220
1564a9515880
hex3883a36e14

242726694420 has 384 divisors, whose sum is σ = 858370867200. Its totient is φ = 49967774208.

The previous prime is 242726694409. The next prime is 242726694451. The reversal of 242726694420 is 24496627242.

242726694420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242726694420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30647221 + ... + 30655139.

It is an arithmetic number, because the mean of its divisors is an integer number (2235340800).

Almost surely, 2242726694420 is an apocalyptic number.

242726694420 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 242726694420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429185433600).

242726694420 is an abundant number, since it is smaller than the sum of its proper divisors (615644172780).

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

242726694420 is a wasteful number, since it uses less digits than its factorization.

242726694420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 242726694420 in words is "two hundred forty-two billion, seven hundred twenty-six million, six hundred ninety-four thousand, four hundred twenty".