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20282319095892 = 22373173125736383
BaseRepresentation
bin1001001110010010110000…
…11011001100100001010100
32122210222012200122112122120
410213021120123030201110
510124301142142032032
6111045322504055540
74162230526524000
oct447113033144124
978728180575576
1020282319095892
11650a757409397
122336a237645b0
13b417cb0378b9
145019530b7700
152528ca1bd62c
hex1272586cc854

20282319095892 has 384 divisors, whose sum is σ = 60557878886400. Its totient is φ = 5257449308160.

The previous prime is 20282319095789. The next prime is 20282319095921. The reversal of 20282319095892 is 29859091328202.

It is a super-2 number, since 2×202823190958922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 557448733 + ... + 557485115.

It is an arithmetic number, because the mean of its divisors is an integer number (157702809600).

Almost surely, 220282319095892 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 20282319095892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30278939443200).

20282319095892 is an abundant number, since it is smaller than the sum of its proper divisors (40275559790508).

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

20282319095892 is a wasteful number, since it uses less digits than its factorization.

20282319095892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36716 (or 36700 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 20282319095892 in words is "twenty trillion, two hundred eighty-two billion, three hundred nineteen million, ninety-five thousand, eight hundred ninety-two".