Base | Representation |
---|---|
bin | 10100110101110111… |
… | …111111010010010000 |
3 | 2010202121111001112100 |
4 | 110311313333102100 |
5 | 331312422043224 |
6 | 14140341200400 |
7 | 1421364602001 |
oct | 246567772220 |
9 | 63677431470 |
10 | 22378706064 |
11 | 9544218100 |
12 | 4406700100 |
13 | 2158449210 |
14 | 11241a11a8 |
15 | 8ae9d7ac9 |
hex | 535dff490 |
22378706064 has 360 divisors, whose sum is σ = 76551378176. Its totient is φ = 6055948800.
The previous prime is 22378706039. The next prime is 22378706069. The reversal of 22378706064 is 46060787322.
22378706064 is a `hidden beast` number, since 2 + 2 + 37 + 8 + 7 + 0 + 606 + 4 = 666.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (22378706069) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7020279 + ... + 7023465.
Almost surely, 222378706064 is an apocalyptic number.
22378706064 is a gapful number since it is divisible by the number (24) 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 22378706064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38275689088).
22378706064 is an abundant number, since it is smaller than the sum of its proper divisors (54172672112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22378706064 is a wasteful number, since it uses less digits than its factorization.
22378706064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3267 (or 3247 counting only the distinct ones).
The product of its (nonzero) digits is 677376, while the sum is 45.
The spelling of 22378706064 in words is "twenty-two billion, three hundred seventy-eight million, seven hundred six thousand, sixty-four".
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