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8148404412529 = 291813041510481
BaseRepresentation
bin111011010010011001011…
…0000000010000001110001
31001211222110022110200012121
41312210302300002001301
52032000413012200104
625155154133354241
71500463025466043
oct166446260020161
931758408420177
108148404412529
11266179a953957
12ab7270198981
13471511724104
14202556167a93
15e1e5a918254
hex76932c02071

8148404412529 has 16 divisors (see below), whose sum is σ = 8478758892240. Its totient is φ = 7821370368000.

The previous prime is 8148404412521. The next prime is 8148404412553. The reversal of 8148404412529 is 9252144048418.

It can be written as a sum of positive squares in 8 ways, for example, as 394323714304 + 7754080698225 = 627952^2 + 2784615^2 .

It is a cyclic number.

It is not a de Polignac number, because 8148404412529 - 23 = 8148404412521 is a prime.

It is a super-2 number, since 2×81484044125292 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8148404412521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15706969 + ... + 16217449.

It is an arithmetic number, because the mean of its divisors is an integer number (529922430765).

Almost surely, 28148404412529 is an apocalyptic number.

It is an amenable number.

8148404412529 is a deficient number, since it is larger than the sum of its proper divisors (330354479711).

8148404412529 is a wasteful number, since it uses less digits than its factorization.

8148404412529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513732.

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 8148404412529 in words is "eight trillion, one hundred forty-eight billion, four hundred four million, four hundred twelve thousand, five hundred twenty-nine".

Divisors: 1 29 181 3041 5249 88189 510481 550421 14803949 15962209 92397061 1552372721 2679514769 45018808909 280979462501 8148404412529