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2442668956266 = 2371121947952813
BaseRepresentation
bin100011100010111010011…
…010100101101001101010
322122111221210120210011110
4203202322122211221222
5310010041223100031
65110051401011150
7341322420356340
oct43427232455152
98574853523143
102442668956266
11861a25a44600
123354a4a83ab6
1314945bb8c616
1486323891990
154381585ec46
hex238ba6a5a6a

2442668956266 has 192 divisors, whose sum is σ = 6473559859200. Its totient is φ = 599800671360.

The previous prime is 2442668956207. The next prime is 2442668956289. The reversal of 2442668956266 is 6626598662442.

2442668956266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2442668956197 and 2442668956206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46224876 + ... + 46277688.

It is an arithmetic number, because the mean of its divisors is an integer number (33716457600).

Almost surely, 22442668956266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442668956266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236779929600).

2442668956266 is an abundant number, since it is smaller than the sum of its proper divisors (4030890902934).

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

2442668956266 is a wasteful number, since it uses less digits than its factorization.

2442668956266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53345 (or 53334 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 66.

The spelling of 2442668956266 in words is "two trillion, four hundred forty-two billion, six hundred sixty-eight million, nine hundred fifty-six thousand, two hundred sixty-six".