Search a number
-
+
11350209360 = 2435719734871
BaseRepresentation
bin10101001001000011…
…00111001101010000
31002022000102101011110
422210201213031100
5141221123144420
65114134213320
7551161121250
oct124441471520
932260371143
1011350209360
1148a4996316
1222491b4240
1310bb654c19
147995d3960
154666b9ee0
hex2a4867350

11350209360 has 320 divisors, whose sum is σ = 42917253120. Its totient is φ = 2423623680.

The previous prime is 11350209347. The next prime is 11350209371. The reversal of 11350209360 is 6390205311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2327725 + ... + 2332595.

It is an arithmetic number, because the mean of its divisors is an integer number (134116416).

Almost surely, 211350209360 is an apocalyptic number.

11350209360 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 11350209360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21458626560).

11350209360 is an abundant number, since it is smaller than the sum of its proper divisors (31567043760).

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

11350209360 is a wasteful number, since it uses less digits than its factorization.

11350209360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 11350209360 in words is "eleven billion, three hundred fifty million, two hundred nine thousand, three hundred sixty".