Search a number
-
+
12335996160 = 283253134543
BaseRepresentation
bin10110111110100100…
…00101110100000000
31011211201100112102200
423133102011310000
5200231003334120
65400031113200
7614461144245
oct133722056400
934751315380
1012335996160
115260391554
122483372800
131217956917
148504c15cc
154c2edee90
hex2df485d00

12335996160 has 216 divisors, whose sum is σ = 44059352064. Its totient is φ = 3183390720.

The previous prime is 12335996147. The next prime is 12335996201. The reversal of 12335996160 is 6169953321.

12335996160 is a `hidden beast` number, since 1 + 23 + 3 + 5 + 9 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339849 + ... + 374391.

Almost surely, 212335996160 is an apocalyptic number.

12335996160 is a gapful number since it is divisible by the number (10) 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 12335996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22029676032).

12335996160 is an abundant number, since it is smaller than the sum of its proper divisors (31723355904).

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

12335996160 is a wasteful number, since it uses less digits than its factorization.

12335996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34601 (or 34584 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 12335996160 in words is "twelve billion, three hundred thirty-five million, nine hundred ninety-six thousand, one hundred sixty".