Search a number
-
+
12366944649696 = 25372136130710799
BaseRepresentation
bin1011001111110110011101…
…0101111100000111100000
31121210021020122011200201210
42303331213111330013200
53110110000312242241
642145143531230120
72414324263041600
oct263754725740740
947707218150653
1012366944649696
113a3887893827a
1214789688a8340
136b9275971b40
1430a7c5a42c00
15166a5c866316
hexb3f6757c1e0

12366944649696 has 576 divisors, whose sum is σ = 41473395532800. Its totient is φ = 3197396643840.

The previous prime is 12366944649679. The next prime is 12366944649701. The reversal of 12366944649696 is 69694644966321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145188105 + ... + 1145198903.

It is an arithmetic number, because the mean of its divisors is an integer number (72002422800).

Almost surely, 212366944649696 is an apocalyptic number.

12366944649696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12366944649696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736697766400).

12366944649696 is an abundant number, since it is smaller than the sum of its proper divisors (29106450883104).

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

12366944649696 is a wasteful number, since it uses less digits than its factorization.

12366944649696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11192 counting only the distinct ones).

The product of its digits is 2176782336, while the sum is 75.

The spelling of 12366944649696 in words is "twelve trillion, three hundred sixty-six billion, nine hundred forty-four million, six hundred forty-nine thousand, six hundred ninety-six".