Search a number
-
+
11494312200 = 23325272194
BaseRepresentation
bin10101011010001110…
…10100100100001000
31002200001120120002200
422231013110210020
5142020020442300
65140323000200
7554561020200
oct125507244410
932601516080
1011494312200
11496926a978
122289509060
13111246a887
147b07c5400
15474182200
hex2ad1d4908

11494312200 has 540 divisors, whose sum is σ = 47398705965. Its totient is φ = 2488993920.

The previous prime is 11494312199. The next prime is 11494312211. The reversal of 11494312200 is 221349411.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11494312200 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 431 + 220 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11264425956 + 229886244 = 106134^2 + 15162^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=75810.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 604963791 + ... + 604963809.

Almost surely, 211494312200 is an apocalyptic number.

11494312200 is a gapful number since it is divisible by the number (10) 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 11494312200

11494312200 is an abundant number, since it is smaller than the sum of its proper divisors (35904393765).

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

11494312200 is an equidigital number, since it uses as much as digits as its factorization.

11494312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11494312200 in words is "eleven billion, four hundred ninety-four million, three hundred twelve thousand, two hundred".