Search a number
-
+
11984425740 = 223357172959109
BaseRepresentation
bin10110010100101001…
…11101001100001100
31010221012210220111000
423022110331030030
5144021003110430
65301111500300
7602661636510
oct131224751414
933835726430
1011984425740
11509a994491
1223a5687690
13118cb709a1
14819926140
154a21e5e60
hex2ca53d30c

11984425740 has 768 divisors, whose sum is σ = 47900160000. Its totient is φ = 2424619008.

The previous prime is 11984425727. The next prime is 11984425751. The reversal of 11984425740 is 4752448911.

11984425740 is a `hidden beast` number, since 119 + 8 + 442 + 57 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 109948806 + ... + 109948914.

It is an arithmetic number, because the mean of its divisors is an integer number (62370000).

Almost surely, 211984425740 is an apocalyptic number.

11984425740 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 11984425740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080000).

11984425740 is an abundant number, since it is smaller than the sum of its proper divisors (35915734260).

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

11984425740 is a wasteful number, since it uses less digits than its factorization.

11984425740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11984425740 in words is "eleven billion, nine hundred eighty-four million, four hundred twenty-five thousand, seven hundred forty".