Search a number
-
+
12094278336 = 2632722313451
BaseRepresentation
bin10110100001110000…
…00000101011000000
31011012212111222220200
423100320000223000
5144232113401321
65320034205200
7605464445460
oct132070005300
934185458820
1012094278336
1151469a5358
122416423800
1311a9853c1a
1482a35dba0
154abb94d26
hex2d0e00ac0

12094278336 has 168 divisors, whose sum is σ = 39798979584. Its totient is φ = 3439756800.

The previous prime is 12094278331. The next prime is 12094278419. The reversal of 12094278336 is 63387249021.

12094278336 is a `hidden beast` number, since 1 + 209 + 42 + 78 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 12094278291 and 12094278300.

It is not an unprimeable number, because it can be changed into a prime (12094278331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892411 + ... + 905861.

It is an arithmetic number, because the mean of its divisors is an integer number (236898688).

Almost surely, 212094278336 is an apocalyptic number.

12094278336 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 12094278336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899489792).

12094278336 is an abundant number, since it is smaller than the sum of its proper divisors (27704701248).

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

12094278336 is a wasteful number, since it uses less digits than its factorization.

12094278336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13699 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12094278336 in words is "twelve billion, ninety-four million, two hundred seventy-eight thousand, three hundred thirty-six".