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241116226650 = 2325213172699013
BaseRepresentation
bin1110000010001110100…
…1011010010001011010
3212001100210201102002200
43200203221122101122
512422301223223100
6302433421311030
723264041052625
oct3404351322132
9761323642080
10241116226650
1193290907902
123a891405476
1319977714180
14b954a12dbc
156412e49e00
hex3823a5a45a

241116226650 has 288 divisors, whose sum is σ = 741494885040. Its totient is φ = 55646576640.

The previous prime is 241116226643. The next prime is 241116226679. The reversal of 241116226650 is 56622611142.

241116226650 is a `hidden beast` number, since 2 + 411 + 16 + 226 + 6 + 5 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 49763347929 + 191352878721 = 223077^2 + 437439^2 .

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 143 ways as a sum of consecutive naturals, for example, 26747544 + ... + 26756556.

Almost surely, 2241116226650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241116226650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370747442520).

241116226650 is an abundant number, since it is smaller than the sum of its proper divisors (500378658390).

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

241116226650 is a wasteful number, since it uses less digits than its factorization.

241116226650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 241116226650 its reverse (56622611142), we get a palindrome (297738837792).

The spelling of 241116226650 in words is "two hundred forty-one billion, one hundred sixteen million, two hundred twenty-six thousand, six hundred fifty".