Search a number
-
+
12035910528 = 2735438999
BaseRepresentation
bin10110011010110010…
…10110101110000000
31011001210200121100000
423031121112232000
5144122143114103
65310151200000
7604155360105
oct131531265600
934053617300
1012035910528
115116a597a4
1223ba976000
13119a728b65
148226c8aac
154a69b5aa3
hex2cd656b80

12035910528 has 192 divisors, whose sum is σ = 36756720000. Its totient is φ = 3918233088.

The previous prime is 12035910521. The next prime is 12035910559. The reversal of 12035910528 is 82501953021.

12035910528 is a `hidden beast` number, since 12 + 0 + 3 + 591 + 0 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 12035910492 and 12035910501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12035910521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332973 + ... + 1341971.

It is an arithmetic number, because the mean of its divisors is an integer number (191441250).

Almost surely, 212035910528 is an apocalyptic number.

12035910528 is a gapful number since it is divisible by the number (18) 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 12035910528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360000).

12035910528 is an abundant number, since it is smaller than the sum of its proper divisors (24720809472).

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

12035910528 is an frugal number, since it uses more digits than its factorization.

12035910528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9071 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 12035910528 in words is "twelve billion, thirty-five million, nine hundred ten thousand, five hundred twenty-eight".