Search a number
-
+
12333793696 = 257433127163
BaseRepresentation
bin10110111110010011…
…01100000110100000
31011211120012122012221
423133021230012200
5200224422344241
65355512000424
7614433342130
oct133711540640
934746178187
1012333793696
11525a117834
122482690114
1312173652a3
148500aaac0
154c2c075d1
hex2df26c1a0

12333793696 has 48 divisors (see below), whose sum is σ = 27815344704. Its totient is φ = 5273662464.

The previous prime is 12333793649. The next prime is 12333793697. The reversal of 12333793696 is 69639733321.

It is not an unprimeable number, because it can be changed into a prime (12333793697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33411 + ... + 160573.

It is an arithmetic number, because the mean of its divisors is an integer number (579486348).

Almost surely, 212333793696 is an apocalyptic number.

12333793696 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 12333793696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907672352).

12333793696 is an abundant number, since it is smaller than the sum of its proper divisors (15481551008).

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

12333793696 is a wasteful number, since it uses less digits than its factorization.

12333793696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127613 (or 127605 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 52.

The spelling of 12333793696 in words is "twelve billion, three hundred thirty-three million, seven hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 433 866 1732 3031 3464 6062 6928 12124 13856 24248 48496 96992 127163 254326 508652 890141 1017304 1780282 2034608 3560564 4069216 7121128 14242256 28484512 55061579 110123158 220246316 385431053 440492632 770862106 880985264 1541724212 1761970528 3083448424 6166896848 12333793696