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12364143664 = 2431101246809
BaseRepresentation
bin10111000001111010…
…11101110000110000
31011220200022120112211
423200331131300300
5200310210044124
65402514301504
7615252326035
oct134075356060
934820276484
1012364143664
115275267154
122490887894
131220730652
1485412b38c
154c56eee94
hex2e0f5dc30

12364143664 has 40 divisors (see below), whose sum is σ = 24973223040. Its totient is φ = 5923392000.

The previous prime is 12364143661. The next prime is 12364143697. The reversal of 12364143664 is 46634146321.

12364143664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12364143661) 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 7 ways as a sum of consecutive naturals, for example, 73309 + ... + 173500.

It is an arithmetic number, because the mean of its divisors is an integer number (624330576).

Almost surely, 212364143664 is an apocalyptic number.

It is an amenable number.

12364143664 is an abundant number, since it is smaller than the sum of its proper divisors (12609079376).

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

12364143664 is a wasteful number, since it uses less digits than its factorization.

12364143664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246949 (or 246943 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

Adding to 12364143664 its reverse (46634146321), we get a palindrome (58998289985).

The spelling of 12364143664 in words is "twelve billion, three hundred sixty-four million, one hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 101 124 202 248 404 496 808 1616 3131 6262 12524 25048 50096 246809 493618 987236 1974472 3948944 7651079 15302158 24927709 30604316 49855418 61208632 99710836 122417264 199421672 398843344 772758979 1545517958 3091035916 6182071832 12364143664