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12954069432018 = 23311213499305621
BaseRepresentation
bin1011110010000001101010…
…1101001111011011010010
31200212101201101000220221000
42330200122231033123102
53144214413233311033
643315003425042430
72504620626252051
oct274403255173322
950771641026830
1012954069432018
114144876534200
121552703786416
1372c74303a240
1432ada1d60398
15176e721cea13
hexbc81ab4f6d2

12954069432018 has 192 divisors, whose sum is σ = 34144089840000. Its totient is φ = 3616242537600.

The previous prime is 12954069431959. The next prime is 12954069432023. The reversal of 12954069432018 is 81023496045921.

It is a happy number.

12954069432018 is a `hidden beast` number, since 1 + 2 + 9 + 540 + 6 + 94 + 3 + 2 + 0 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42233248 + ... + 42538868.

It is an arithmetic number, because the mean of its divisors is an integer number (177833801250).

Almost surely, 212954069432018 is an apocalyptic number.

12954069432018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12954069432018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072044920000).

12954069432018 is an abundant number, since it is smaller than the sum of its proper divisors (21190020407982).

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

12954069432018 is a wasteful number, since it uses less digits than its factorization.

12954069432018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306166 (or 306149 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12954069432018 in words is "twelve trillion, nine hundred fifty-four billion, sixty-nine million, four hundred thirty-two thousand, eighteen".