Search a number
-
+
5161772200 = 23521311317569
BaseRepresentation
bin1001100111010101…
…00110010010101000
3111022201210012022011
410303222212102220
541032403202300
62212110405304
7241625224354
oct46352462250
914281705264
105161772200
11220975a942
121000800834
1364351cba0
1436d772464
1520325deba
hex133aa64a8

5161772200 has 96 divisors (see below), whose sum is σ = 13039399800. Its totient is φ = 1888911360.

The previous prime is 5161772197. The next prime is 5161772219. The reversal of 5161772200 is 22771615.

It can be written as a sum of positive squares in 12 ways, for example, as 1616522436 + 3545249764 = 40206^2 + 59542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285016 + ... + 302584.

Almost surely, 25161772200 is an apocalyptic number.

5161772200 is a gapful number since it is divisible by the number (50) 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 5161772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519699900).

5161772200 is an abundant number, since it is smaller than the sum of its proper divisors (7877627600).

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

5161772200 is a wasteful number, since it uses less digits than its factorization.

5161772200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17711 (or 17702 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 5161772200 is about 71845.4744573380. The cubic root of 5161772200 is about 1728.2223266823. Note that the first 3 decimals are identical.

The spelling of 5161772200 in words is "five billion, one hundred sixty-one million, seven hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 113 130 200 226 260 325 452 520 565 650 904 1130 1300 1469 2260 2600 2825 2938 4520 5650 5876 7345 11300 11752 14690 17569 22600 29380 35138 36725 58760 70276 73450 87845 140552 146900 175690 228397 293800 351380 439225 456794 702760 878450 913588 1141985 1756900 1827176 1985297 2283970 3513800 3970594 4567940 5709925 7941188 9135880 9926485 11419850 15882376 19852970 22839700 25808861 39705940 45679400 49632425 51617722 79411880 99264850 103235444 129044305 198529700 206470888 258088610 397059400 516177220 645221525 1032354440 1290443050 2580886100 5161772200