Search a number
-
+
12530059776 = 29351361127
BaseRepresentation
bin10111010101101100…
…11000101000000000
31012100020111222200000
423222312120220000
5201130143403101
65431202400000
7622335515343
oct135266305000
935306458600
1012530059776
11534a98a403
122518360000
131248c12b70
1486c19a45a
154d5075486
hex2ead98a00

12530059776 has 480 divisors, whose sum is σ = 41372018688. Its totient is φ = 3762339840.

The previous prime is 12530059771. The next prime is 12530059781. The reversal of 12530059776 is 67795003521.

12530059776 is a `hidden beast` number, since 1 + 2 + 53 + 0 + 0 + 597 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12530059771) and next prime (12530059781).

It is not an unprimeable number, because it can be changed into a prime (12530059771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98661825 + ... + 98661951.

Almost surely, 212530059776 is an apocalyptic number.

12530059776 is a gapful number since it is divisible by the number (16) 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 12530059776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686009344).

12530059776 is an abundant number, since it is smaller than the sum of its proper divisors (28841958912).

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

12530059776 is an equidigital number, since it uses as much as digits as its factorization.

12530059776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 12530059776 in words is "twelve billion, five hundred thirty million, fifty-nine thousand, seven hundred seventy-six".