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22085730793728 = 28327347594617
BaseRepresentation
bin1010000010110001111000…
…01000110111100100000000
32220012101010112220220201100
411001120330020313210000
510343323034040344403
6114550013351334400
74436432666163000
oct501307410674400
986171115826640
1022085730793728
117045562294068
122588442681400
13c428a2040204
14564d52a1a000
152847794e02a3
hex14163c237900

22085730793728 has 432 divisors, whose sum is σ = 75840909580800. Its totient is φ = 6175938650112.

The previous prime is 22085730793727. The next prime is 22085730793769. The reversal of 22085730793728 is 82739703758022.

22085730793728 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 573 + 0 + 7 + 9 + 37 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22085730793727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36845476 + ... + 37440092.

Almost surely, 222085730793728 is an apocalyptic number.

22085730793728 is a gapful number since it is divisible by the number (28) 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 22085730793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920454790400).

22085730793728 is an abundant number, since it is smaller than the sum of its proper divisors (53755178787072).

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

22085730793728 is an equidigital number, since it uses as much as digits as its factorization.

22085730793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594707 (or 594676 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 22085730793728 in words is "twenty-two trillion, eighty-five billion, seven hundred thirty million, seven hundred ninety-three thousand, seven hundred twenty-eight".