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8225468864 = 26676173109
BaseRepresentation
bin1111010100100011…
…01011000111000000
3210020020200010000222
413222101223013000
5113321210000424
63440112202212
7410556221534
oct75221530700
923206603028
108225468864
113541076558
121716839368
13a11176b52
145805d9bc4
153321d5e5e
hex1ea46b1c0

8225468864 has 56 divisors (see below), whose sum is σ = 16598219280. Its totient is φ = 4043483136.

The previous prime is 8225468857. The next prime is 8225468879. The reversal of 8225468864 is 4688645228.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2644142 + ... + 2647250.

Almost surely, 28225468864 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 8225468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299109640).

8225468864 is an abundant number, since it is smaller than the sum of its proper divisors (8372750416).

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

8225468864 is a wasteful number, since it uses less digits than its factorization.

8225468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3795 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 53.

The square root of 8225468864 is about 90694.3706301554. The cubic root of 8225468864 is about 2018.6152702961.

The spelling of 8225468864 in words is "eight billion, two hundred twenty-five million, four hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 617 1072 1234 2144 2468 3109 4288 4936 6218 9872 12436 19744 24872 39488 41339 49744 82678 99488 165356 198976 208303 330712 416606 661424 833212 1322848 1666424 1918253 2645696 3332848 3836506 6665696 7673012 13331392 15346024 30692048 61384096 122768192 128522951 257045902 514091804 1028183608 2056367216 4112734432 8225468864