Search a number
-
+
12525191056 = 24745712
BaseRepresentation
bin10111010101000111…
…10011111110010000
31012022220100122001001
423222203303332100
5201122422103211
65430510151344
7622246240000
oct135243637620
935286318031
1012525191056
115348164474
1225167b2554
131247bc9a71
1486b690000
154d4912ac1
hex2ea8f3f90

12525191056 has 75 divisors (see below), whose sum is σ = 28360133403. Its totient is φ = 5358538080.

The previous prime is 12525191017. The next prime is 12525191083. The reversal of 12525191056 is 65019152521.

It is a happy number.

The square root of 12525191056 is 111916.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 21935251 + ... + 21935821.

Almost surely, 212525191056 is an apocalyptic number.

12525191056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12525191056 is the 111916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12525191056

12525191056 is an abundant number, since it is smaller than the sum of its proper divisors (15834942347).

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

12525191056 is an frugal number, since it uses more digits than its factorization.

12525191056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 12525191056 in words is "twelve billion, five hundred twenty-five million, one hundred ninety-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 571 686 784 1142 1372 2284 2401 2744 3997 4568 4802 5488 7994 9136 9604 15988 19208 27979 31976 38416 55958 63952 111916 195853 223832 326041 391706 447664 652082 783412 1304164 1370971 1566824 2282287 2608328 2741942 3133648 4564574 5216656 5483884 9129148 10967768 15976009 18258296 21935536 31952018 36516592 63904036 111832063 127808072 223664126 255616144 447328252 782824441 894656504 1565648882 1789313008 3131297764 6262595528 12525191056