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22666063680 = 2633513219243
BaseRepresentation
bin10101000111000000…
…001010111101000000
32011111122012100002000
4111013000022331000
5332410003014210
614225044224000
71431454235211
oct250700127500
964448170060
1022666063680
119681447137
12448699b000
1321a2b3b800
141150403408
158c9d4aac0
hex54700af40

22666063680 has 1008 divisors, whose sum is σ = 93506909760. Its totient is φ = 5162766336.

The previous prime is 22666063663. The next prime is 22666063691. The reversal of 22666063680 is 8636066622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 527117739 + ... + 527117781.

Almost surely, 222666063680 is an apocalyptic number.

22666063680 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 22666063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46753454880).

22666063680 is an abundant number, since it is smaller than the sum of its proper divisors (70840846080).

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

22666063680 is a wasteful number, since it uses less digits than its factorization.

22666063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 22666063680 in words is "twenty-two billion, six hundred sixty-six million, sixty-three thousand, six hundred eighty".