Search a number
-
+
5268293209224 = 233623372713917
BaseRepresentation
bin100110010101001111010…
…1111101100110010001000
3200122122101102010022000000
41030222132233230302020
51142303431030143344
615112115343043000
71052423134261323
oct114523657546210
920578342108000
105268293209224
1117512a8199641
127110448a0460
132c2a4b0445c6
14142db590b7ba
1592091510a69
hex4ca9ebecc88

5268293209224 has 448 divisors, whose sum is σ = 15934542359040. Its totient is φ = 1627900623360.

The previous prime is 5268293209217. The next prime is 5268293209237. The reversal of 5268293209224 is 4229023928625.

5268293209224 is a `hidden beast` number, since 5 + 268 + 293 + 2 + 0 + 92 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1344979714 + ... + 1344983630.

Almost surely, 25268293209224 is an apocalyptic number.

5268293209224 is a gapful number since it is divisible by the number (54) 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 5268293209224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967271179520).

5268293209224 is an abundant number, since it is smaller than the sum of its proper divisors (10666249149816).

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

5268293209224 is a wasteful number, since it uses less digits than its factorization.

5268293209224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5268293209224 in words is "five trillion, two hundred sixty-eight billion, two hundred ninety-three million, two hundred nine thousand, two hundred twenty-four".