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12442514045 = 5131091756177
BaseRepresentation
bin10111001011010000…
…11011001001111101
31012010010210012111112
423211220123021331
5200440240422140
65414354131405
7620223424103
oct134550331175
935103705445
1012442514045
115305524a65
1224b2b80b65
131233a40060
148606cbc73
154cc530c65
hex2e5a1b27d

12442514045 has 16 divisors (see below), whose sum is σ = 16227084720. Its totient is φ = 9104016384.

The previous prime is 12442514023. The next prime is 12442514053. The reversal of 12442514045 is 54041524421.

It can be written as a sum of positive squares in 8 ways, for example, as 3104384089 + 9338129956 = 55717^2 + 96634^2 .

It is a cyclic number.

It is not a de Polignac number, because 12442514045 - 28 = 12442513789 is a prime.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 871004 + ... + 885173.

It is an arithmetic number, because the mean of its divisors is an integer number (1014192795).

Almost surely, 212442514045 is an apocalyptic number.

It is an amenable number.

12442514045 is a deficient number, since it is larger than the sum of its proper divisors (3784570675).

12442514045 is a wasteful number, since it uses less digits than its factorization.

12442514045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756304.

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 12442514045 in words is "twelve billion, four hundred forty-two million, five hundred fourteen thousand, forty-five".

Divisors: 1 5 13 65 109 545 1417 7085 1756177 8780885 22830301 114151505 191423293 957116465 2488502809 12442514045