Search a number
-
+
11110422704832 = 26331119972391327
BaseRepresentation
bin1010000110101101100011…
…0011000111001011000000
31110100010221110110021201000
42201223120303013023000
52424013121203023312
635344020245212000
72224462426531353
oct241533063071300
943303843407630
1011110422704832
1135a39a3a72460
1212b5336101000
13627929381b59
142a5a6695029a
1514401a94cadc
hexa1ad8cc72c0

11110422704832 has 896 divisors, whose sum is σ = 38081175552000. Its totient is φ = 3141135728640.

The previous prime is 11110422704819. The next prime is 11110422704833. The reversal of 11110422704832 is 23840722401111.

11110422704832 is a `hidden beast` number, since 1 + 1 + 1 + 104 + 2 + 2 + 70 + 483 + 2 = 666.

It is a super-2 number, since 2×111104227048322 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11110422704833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8372586153 + ... + 8372587479.

It is an arithmetic number, because the mean of its divisors is an integer number (42501312000).

Almost surely, 211110422704832 is an apocalyptic number.

11110422704832 is a gapful number since it is divisible by the number (12) 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 11110422704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19040587776000).

11110422704832 is an abundant number, since it is smaller than the sum of its proper divisors (26970752847168).

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

11110422704832 is a wasteful number, since it uses less digits than its factorization.

11110422704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11110422704832 in words is "eleven trillion, one hundred ten billion, four hundred twenty-two million, seven hundred four thousand, eight hundred thirty-two".