Search a number
-
+
11198051280 = 243351319139151
BaseRepresentation
bin10100110110111010…
…01011001111010000
31001220102002221112000
422123131023033100
5140413200120110
65051101034000
7544332602553
oct123335131720
931812087460
1011198051280
11482700a739
122206255900
131095c7b960
1478330669a
154581611c0
hex29b74b3d0

11198051280 has 640 divisors, whose sum is σ = 44330496000. Its totient is φ = 2575411200.

The previous prime is 11198051279. The next prime is 11198051281. The reversal of 11198051280 is 8215089111.

It is an interprime number because it is at equal distance from previous prime (11198051279) and next prime (11198051281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11198051281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74159205 + ... + 74159355.

It is an arithmetic number, because the mean of its divisors is an integer number (69266400).

Almost surely, 211198051280 is an apocalyptic number.

11198051280 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 11198051280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165248000).

11198051280 is an abundant number, since it is smaller than the sum of its proper divisors (33132444720).

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

11198051280 is a wasteful number, since it uses less digits than its factorization.

11198051280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 11198051280 in words is "eleven billion, one hundred ninety-eight million, fifty-one thousand, two hundred eighty".