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12664240002 = 23535373819
BaseRepresentation
bin10111100101101100…
…01111011110000010
31012200121000001100000
423302312033132002
5201414021140002
65452354340430
7625555156341
oct136266173602
935617001300
1012664240002
1154096a6a57
12255528a716
13126a96324b
14881d27b58
154e1c2c61c
hex2f2d8f782

12664240002 has 48 divisors (see below), whose sum is σ = 28536449760. Its totient is φ = 4209397632.

The previous prime is 12664239977. The next prime is 12664240007. The reversal of 12664240002 is 20004246621.

12664240002 is a `hidden beast` number, since 12 + 6 + 642 + 4 + 0 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12664240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134649 + ... + 208467.

It is an arithmetic number, because the mean of its divisors is an integer number (594509370).

Almost surely, 212664240002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12664240002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268224880).

12664240002 is an abundant number, since it is smaller than the sum of its proper divisors (15872209758).

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

12664240002 is an equidigital number, since it uses as much as digits as its factorization.

12664240002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74189 (or 74177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12664240002 its reverse (20004246621), we get a palindrome (32668486623).

The spelling of 12664240002 in words is "twelve billion, six hundred sixty-four million, two hundred forty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 353 486 706 1059 2118 3177 6354 9531 19062 28593 57186 73819 85779 147638 171558 221457 442914 664371 1328742 1993113 3986226 5979339 11958678 17938017 26058107 35876034 52116214 78174321 156348642 234522963 469045926 703568889 1407137778 2110706667 4221413334 6332120001 12664240002