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12324347466025 = 5276232892
BaseRepresentation
bin1011001101010111110001…
…0110100101000100101001
31121122012021222001120000111
42303111330112211010221
53103410230422403100
642113421013534321
72411255551000000
oct263257426450451
947565258046014
1012324347466025
113a217a9938751
12147065b0443a1
136b52477c450a
14308704567c37
151658b7d586ba
hexb357c5a5129

12324347466025 has 189 divisors, whose sum is σ = 18849856972261. Its totient is φ = 7992720785280.

The previous prime is 12324347466017. The next prime is 12324347466031. The reversal of 12324347466025 is 52066474342321.

The square root of 12324347466025 is 3510605.

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

12324347466025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2564696552089 + 9759650913936 = 1601467^2 + 3124044^2 .

It is not a de Polignac number, because 12324347466025 - 23 = 12324347466017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 12324347466025.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 138475814181 + ... + 138475814269.

Almost surely, 212324347466025 is an apocalyptic number.

12324347466025 is the 3510605-th square number.

12324347466025 is the 1755303-rd centered octagonal number.

It is an amenable number.

12324347466025 is a deficient number, since it is larger than the sum of its proper divisors (6525509506236).

12324347466025 is an frugal number, since it uses more digits than its factorization.

12324347466025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 49.

Multiplying 12324347466025 by its sum of digits (49), we get a square (603893025835225 = 245742352).

12324347466025 divided by its sum of digits (49) gives a square (251517295225 = 5015152).

The spelling of 12324347466025 in words is "twelve trillion, three hundred twenty-four billion, three hundred forty-seven million, four hundred sixty-six thousand, twenty-five".