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26222332032 = 27321323672
BaseRepresentation
bin11000011010111110…
…010000100010000000
32111200110221111010200
4120122332100202000
5412200404111112
620014003325200
71615546100421
oct303276204200
974613844120
1026222332032
1110136906196
1250b9980800
13261b849700
1413aa84b648
15a3716ecdc
hex61af90880

26222332032 has 216 divisors, whose sum is σ = 81931653765. Its totient is φ = 8046425088.

The previous prime is 26222332001. The next prime is 26222332051. The reversal of 26222332032 is 23023322262.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

26222332032 is a `hidden beast` number, since 2 + 622 + 2 + 3 + 3 + 2 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22420869696 + 3801462336 = 149736^2 + 61656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=114504.

It is a super-2 number, since 2×262223320322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26222331987 and 26222332005.

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 26 ways as a sum of consecutive naturals, for example, 71450313 + ... + 71450679.

Almost surely, 226222332032 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 26222332032

26222332032 is an abundant number, since it is smaller than the sum of its proper divisors (55709321733).

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

26222332032 is an equidigital number, since it uses as much as digits as its factorization.

26222332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Multiplying 26222332032 by its product of nonzero digits (10368), we get a square (271873138507776 = 164885762).

Adding to 26222332032 its reverse (23023322262), we get a palindrome (49245654294).

The spelling of 26222332032 in words is "twenty-six billion, two hundred twenty-two million, three hundred thirty-two thousand, thirty-two".