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2266648443444 = 2237113316171151
BaseRepresentation
bin100000111110111110110…
…001100111101000110100
322000200121121221021001210
4200332332301213220310
5244114044000142234
64453141154321420
7322521442606560
oct40767661475064
98020547837053
102266648443444
117a4309a56000
1230735bb89270
13135989836b18
147b9c63ca6a0
153de626c8be9
hex20fbec67a34

2266648443444 has 768 divisors, whose sum is σ = 7120440262656. Its totient is φ = 548856000000.

The previous prime is 2266648443349. The next prime is 2266648443529. The reversal of 2266648443444 is 4443448466622.

It is a super-2 number, since 2×22666484434442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15010916769 + ... + 15010916919.

It is an arithmetic number, because the mean of its divisors is an integer number (9271406592).

Almost surely, 22266648443444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266648443444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560220131328).

2266648443444 is an abundant number, since it is smaller than the sum of its proper divisors (4853791819212).

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

2266648443444 is a wasteful number, since it uses less digits than its factorization.

2266648443444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 57.

The spelling of 2266648443444 in words is "two trillion, two hundred sixty-six billion, six hundred forty-eight million, four hundred forty-three thousand, four hundred forty-four".