Search a number
-
+
45663799200 = 25352412232081
BaseRepresentation
bin101010100001110001…
…100100011110100000
311100212101111100101020
4222201301210132200
51222004413033300
632551101405440
73204406613625
oct524161443640
9140771440336
1045663799200
111840302a228
128a24869880
1343c95b7036
1422d28a234c
1512c3d5e8a0
hexaa1c647a0

45663799200 has 288 divisors, whose sum is σ = 153017206272. Its totient is φ = 11821056000.

The previous prime is 45663799157. The next prime is 45663799231. The reversal of 45663799200 is 299736654.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21942160 + ... + 21944240.

It is an arithmetic number, because the mean of its divisors is an integer number (531309744).

Almost surely, 245663799200 is an apocalyptic number.

45663799200 is a gapful number since it is divisible by the number (40) 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 45663799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76508603136).

45663799200 is an abundant number, since it is smaller than the sum of its proper divisors (107353407072).

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

45663799200 is a wasteful number, since it uses less digits than its factorization.

45663799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 45663799200 in words is "forty-five billion, six hundred sixty-three million, seven hundred ninety-nine thousand, two hundred".