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12094511328 = 2533157163547
BaseRepresentation
bin10110100001110001…
…11001100011100000
31011012212221211112000
423100320321203200
5144232143330303
65320043204000
7605466435654
oct132070714340
934185854460
1012094511328
115147044409
122416516600
1311a9905ca3
1482a3c0a64
154abbddda3
hex2d0e398e0

12094511328 has 192 divisors, whose sum is σ = 35783435520. Its totient is φ = 3973971456.

The previous prime is 12094511323. The next prime is 12094511339. The reversal of 12094511328 is 82311549021.

12094511328 is a `hidden beast` number, since 1 + 20 + 94 + 511 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12094511292 and 12094511301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12094511323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22110351 + ... + 22110897.

It is an arithmetic number, because the mean of its divisors is an integer number (186372060).

Almost surely, 212094511328 is an apocalyptic number.

12094511328 is a gapful number since it is divisible by the number (18) 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 12094511328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891717760).

12094511328 is an abundant number, since it is smaller than the sum of its proper divisors (23688924192).

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

12094511328 is a wasteful number, since it uses less digits than its factorization.

12094511328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12094511328 in words is "twelve billion, ninety-four million, five hundred eleven thousand, three hundred twenty-eight".