Search a number
-
+
12532789368 = 233311173110009
BaseRepresentation
bin10111010110000001…
…10011000001111000
31012100102122122222000
423223000303001320
5201131343224433
65431341101000
7622400644341
oct135300630170
935312578860
1012532789368
115351484170
122519257760
13124965a3c8
1486c6ab0c8
154d5414113
hex2eb033078

12532789368 has 256 divisors, whose sum is σ = 41513472000. Its totient is φ = 3458764800.

The previous prime is 12532789361. The next prime is 12532789391. The reversal of 12532789368 is 86398723521.

12532789368 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 278 + 9 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12532789361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1247148 + ... + 1257156.

It is an arithmetic number, because the mean of its divisors is an integer number (162162000).

Almost surely, 212532789368 is an apocalyptic number.

12532789368 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 12532789368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736000).

12532789368 is an abundant number, since it is smaller than the sum of its proper divisors (28980682632).

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

12532789368 is a wasteful number, since it uses less digits than its factorization.

12532789368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10073 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12532789368 in words is "twelve billion, five hundred thirty-two million, seven hundred eighty-nine thousand, three hundred sixty-eight".