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8226685968400 = 245261223512
BaseRepresentation
bin111011110110110110010…
…1100011110000000010000
31002010110111220000202000201
41313231230230132000100
52034241223101442100
625255142023024544
71506233642646334
oct167555454360020
932113456022021
108226685968400
112691a1083a479
12b0a47859b154
13478a08822483
142062609b97c4
15e3edd0dd36a
hex77b6cb1e010

8226685968400 has 135 divisors (see below), whose sum is σ = 20102485338039. Its totient is φ = 3235352160000.

The previous prime is 8226685968353. The next prime is 8226685968409. The reversal of 8226685968400 is 48695866228.

Multipling 8226685968400 by its sum of digits (64), we get a square (526507901977600 = 229457602).

The square root of 8226685968400 is 2868220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3789360570384 + 4437325398016 = 1946628^2 + 2106496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8226685968409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3499227225 + ... + 3499229575.

Almost surely, 28226685968400 is an apocalyptic number.

8226685968400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8226685968400 is the 2868220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8226685968400

8226685968400 is an abundant number, since it is smaller than the sum of its proper divisors (11875799369639).

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

8226685968400 is an frugal number, since it uses more digits than its factorization.

8226685968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 8226685968400 in words is "eight trillion, two hundred twenty-six billion, six hundred eighty-five million, nine hundred sixty-eight thousand, four hundred".