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8022893905 = 513273312953
BaseRepresentation
bin1110111100011001…
…11010010101010001
3202201010111020102201
413132030322111101
5112412330101110
63404034243201
7402546321145
oct73614722521
922633436381
108022893905
113447794a34
12167aa26501
139ab1ca800
14561747225
1531e51db3a
hex1de33a551

8022893905 has 24 divisors (see below), whose sum is σ = 10440043128. Its totient is φ = 5916059136.

The previous prime is 8022893903. The next prime is 8022893909. The reversal of 8022893905 is 5093982208.

It can be written as a sum of positive squares in 12 ways, for example, as 3905875009 + 4117018896 = 62497^2 + 64164^2 .

It is not a de Polignac number, because 8022893905 - 21 = 8022893903 is a prime.

It is a super-2 number, since 2×80228939052 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8022893903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612909 + ... + 625861.

It is an arithmetic number, because the mean of its divisors is an integer number (435001797).

Almost surely, 28022893905 is an apocalyptic number.

It is an amenable number.

8022893905 is a deficient number, since it is larger than the sum of its proper divisors (2417149223).

8022893905 is a wasteful number, since it uses less digits than its factorization.

8022893905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13717 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 8022893905 is about 89570.6084884992. The cubic root of 8022893905 is about 2001.9060084056.

The spelling of 8022893905 in words is "eight billion, twenty-two million, eight hundred ninety-three thousand, nine hundred five".

Divisors: 1 5 13 65 169 733 845 3665 9529 12953 47645 64765 123877 168389 619385 841945 2189057 9494549 10945285 47472745 123429137 617145685 1604578781 8022893905