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12315243260052 = 2232342090090557
BaseRepresentation
bin1011001100110101110110…
…1100110010100010010100
31121121022210110212222021200
42303031131230302202110
53103233104233310202
642105313351112500
72410514131345305
oct263153554624224
947538713788250
1012315243260052
113a18957842a87
12146a93a072730
136b442658a1a5
143080bd3887ac
15165533945e1c
hexb335db32894

12315243260052 has 18 divisors (see below), whose sum is σ = 31130198240778. Its totient is φ = 4105081086672.

The previous prime is 12315243260041. The next prime is 12315243260053. The reversal of 12315243260052 is 25006234251321.

12315243260052 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 5 + 2 + 43 + 2 + 600 + 5 + 2 = 666.

12315243260052 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 only one way, i.e., 8835839480196 + 3479403779856 = 2972514^2 + 1865316^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 342090090557 = 12315243260052 / (1 + 2 + 3 + 1 + 5 + 2 + 4 + 3 + 2 + 6 + 0 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 12315243259989 and 12315243260016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315243260053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171045045243 + ... + 171045045314.

It is an arithmetic number, because the mean of its divisors is an integer number (1729455457821).

Almost surely, 212315243260052 is an apocalyptic number.

12315243260052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12315243260052 is an abundant number, since it is smaller than the sum of its proper divisors (18814954980726).

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

12315243260052 is a wasteful number, since it uses less digits than its factorization.

12315243260052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342090090567 (or 342090090562 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12315243260052 in words is "twelve trillion, three hundred fifteen billion, two hundred forty-three million, two hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 342090090557 684180181114 1026270271671 1368360362228 2052540543342 3078810815013 4105081086684 6157621630026 12315243260052