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12315327264 = 253314253851
BaseRepresentation
bin10110111100000110…
…01111101100100000
31011210021110110001000
423132003033230200
5200210210433024
65354012112000
7614120361132
oct133603175440
934707413030
1012315327264
11524a754719
122478465600
13121359abc6
1484b861052
154c12aacc9
hex2de0cfb20

12315327264 has 48 divisors (see below), whose sum is σ = 35919707040. Its totient is φ = 4105108800.

The previous prime is 12315327257. The next prime is 12315327331. The reversal of 12315327264 is 46272351321.

12315327264 is a `hidden beast` number, since 12 + 315 + 3 + 272 + 64 = 666.

12315327264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 7126062 + ... + 7127789.

It is an arithmetic number, because the mean of its divisors is an integer number (748327230).

Almost surely, 212315327264 is an apocalyptic number.

It is an amenable number.

12315327264 is an abundant number, since it is smaller than the sum of its proper divisors (23604379776).

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

12315327264 is a wasteful number, since it uses less digits than its factorization.

12315327264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253870 (or 14253856 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

Adding to 12315327264 its reverse (46272351321), we get a palindrome (58587678585).

The spelling of 12315327264 in words is "twelve billion, three hundred fifteen million, three hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14253851 28507702 42761553 57015404 85523106 114030808 128284659 171046212 228061616 256569318 342092424 384853977 456123232 513138636 684184848 769707954 1026277272 1368369696 1539415908 2052554544 3078831816 4105109088 6157663632 12315327264