Search a number
-
+
12299865686784 = 2834132193159101
BaseRepresentation
bin1011001011111100100100…
…1000000000001100000000
31121112212002210021022110000
42302333021020000030000
53103010111103434114
642054251424240000
72406431065211214
oct262771110001400
947485083238400
1012299865686784
113a12386583645
121467968170000
136b2b45752700
14307460d5a944
15164e338ece09
hexb2fc9200300

12299865686784 has 2160 divisors, whose sum is σ = 44318877926400. Its totient is φ = 3377147904000.

The previous prime is 12299865686729. The next prime is 12299865686809. The reversal of 12299865686784 is 48768656899221.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 121780848334 + ... + 121780848434.

It is an arithmetic number, because the mean of its divisors is an integer number (20517999040).

Almost surely, 212299865686784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12299865686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22159438963200).

12299865686784 is an abundant number, since it is smaller than the sum of its proper divisors (32019012239616).

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

12299865686784 is a wasteful number, since it uses less digits than its factorization.

12299865686784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 12299865686784 in words is "twelve trillion, two hundred ninety-nine billion, eight hundred sixty-five million, six hundred eighty-six thousand, seven hundred eighty-four".