Search a number
-
+
47022260285152 = 254363761535957
BaseRepresentation
bin10101011000100001110010…
…00111101110111011100000
320011111021200011112122021101
422230100321013232323200
522130403042113111102
6244001421141004144
712622150305442405
oct1254207107567340
9204437604478241
1047022260285152
1113a8a035077099
12533528b9b3654
132031245949049
14b87c64c882ac
15568254810e87
hex2ac4391eeee0

47022260285152 has 48 divisors (see below), whose sum is σ = 94729646076912. Its totient is φ = 22963956664320.

The previous prime is 47022260285141. The next prime is 47022260285173. The reversal of 47022260285152 is 25158206222074.

It is a happy number.

47022260285152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×470222602851522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87467158 + ... + 88003114.

It is an arithmetic number, because the mean of its divisors is an integer number (1973534293269).

Almost surely, 247022260285152 is an apocalyptic number.

It is an amenable number.

47022260285152 is an abundant number, since it is smaller than the sum of its proper divisors (47707385791760).

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

47022260285152 is a wasteful number, since it uses less digits than its factorization.

47022260285152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599771 (or 599763 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 47022260285152 in words is "forty-seven trillion, twenty-two billion, two hundred sixty million, two hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 63761 127522 255044 510088 535957 1020176 1071914 2040352 2143828 2741723 4287656 5483446 8575312 10966892 17150624 21933784 23046151 43867568 46092302 87735136 92184604 184369208 368738416 737476832 34173154277 68346308554 136692617108 273385234216 546770468432 1093540936864 1469445633911 2938891267822 5877782535644 11755565071288 23511130142576 47022260285152