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21246214603320 = 23345725130712157
BaseRepresentation
bin1001101010010110001010…
…00100110000001000111000
32210020010012020002201020000
410311023011010300020320
510241044221414301240
6113104213134033000
74321663001252520
oct465130504601070
983203166081200
1021246214603320
11685151828a673
1224717aa348760
13bb1681317c65
14536472466680
1526c9e1e32430
hex1352c5130238

21246214603320 has 640 divisors, whose sum is σ = 82211252175360. Its totient is φ = 4820777856000.

The previous prime is 21246214603283. The next prime is 21246214603363. The reversal of 21246214603320 is 2330641264212.

21246214603320 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 6 + 2 + 14 + 603 + 32 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1747646682 + ... + 1747658838.

It is an arithmetic number, because the mean of its divisors is an integer number (128455081524).

Almost surely, 221246214603320 is an apocalyptic number.

21246214603320 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 21246214603320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41105626087680).

21246214603320 is an abundant number, since it is smaller than the sum of its proper divisors (60965037572040).

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

21246214603320 is a wasteful number, since it uses less digits than its factorization.

21246214603320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12745 (or 12732 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 21246214603320 its reverse (2330641264212), we get a palindrome (23576855867532).

The spelling of 21246214603320 in words is "twenty-one trillion, two hundred forty-six billion, two hundred fourteen million, six hundred three thousand, three hundred twenty".