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12445410481 = 72159372
BaseRepresentation
bin10111001011100110…
…11110010010110001
31012010100020100122221
423211303132102301
5200442011113411
65414540201041
7620260146400
oct134563362261
935110210587
1012445410481
115307123109
1224b3b39181
13123451551a
14860c43637
154cc904071
hex2e5cde4b1

12445410481 has 9 divisors (see below), whose sum is σ = 14478222699. Its totient is φ = 10666825344.

The previous prime is 12445410463. The next prime is 12445410491. The reversal of 12445410481 is 18401454421.

The square root of 12445410481 is 111559.

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

It can be written as a sum of positive squares in only one way, i.e., 8726362225 + 3719048256 = 93415^2 + 60984^2 .

It is not a de Polignac number, because 12445410481 - 229 = 11908539569 is a prime.

It is a super-2 number, since 2×124454104812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12445410401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 772945 + ... + 788881.

It is an arithmetic number, because the mean of its divisors is an integer number (1608691411).

Almost surely, 212445410481 is an apocalyptic number.

12445410481 is the 111559-th square number.

12445410481 is the 55780-th centered octagonal number.

It is an amenable number.

12445410481 is a deficient number, since it is larger than the sum of its proper divisors (2032812218).

12445410481 is an frugal number, since it uses more digits than its factorization.

12445410481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31888 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 12445410481 in words is "twelve billion, four hundred forty-five million, four hundred ten thousand, four hundred eighty-one".

Divisors: 1 7 49 15937 111559 780913 253987969 1777915783 12445410481