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21266406720 = 26325133173251
BaseRepresentation
bin10011110011100100…
…111001110101000000
32000220002111101200100
4103303210321311000
5322023200003340
613434124522400
71352000321526
oct236344716500
960802441610
1021266406720
119023372149
1241560b0400
13200bb80220
14105a580316
15847022830
hex4f3939d40

21266406720 has 672 divisors, whose sum is σ = 82757735424. Its totient is φ = 4976640000.

The previous prime is 21266406703. The next prime is 21266406731. The reversal of 21266406720 is 2760466212.

21266406720 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 640 + 6 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×212664067203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 84726595 + ... + 84726845.

It is an arithmetic number, because the mean of its divisors is an integer number (123151392).

Almost surely, 221266406720 is an apocalyptic number.

21266406720 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 21266406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41378867712).

21266406720 is an abundant number, since it is smaller than the sum of its proper divisors (61491328704).

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

21266406720 is a wasteful number, since it uses less digits than its factorization.

21266406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21266406720 in words is "twenty-one billion, two hundred sixty-six million, four hundred six thousand, seven hundred twenty".