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12063614976 = 211327219237
BaseRepresentation
bin10110011110000110…
…00010100000000000
31011010201211010200200
423033003002200000
5144201241134401
65313021045200
7604643015100
oct131703024000
934121733620
1012063614976
115130661536
1224080b6800
1311a33a901a
1482625b200
154a9139686
hex2cf0c2800

12063614976 has 648 divisors, whose sum is σ = 43931970810. Its totient is φ = 3177086976.

The previous prime is 12063614971. The next prime is 12063614989. The reversal of 12063614976 is 67941636021.

12063614976 is a `hidden beast` number, since 1 + 2 + 0 + 636 + 1 + 4 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7988069376 + 4075545600 = 89376^2 + 63840^2 .

It is not an unprimeable number, because it can be changed into a prime (12063614971) 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 53 ways as a sum of consecutive naturals, for example, 326043630 + ... + 326043666.

Almost surely, 212063614976 is an apocalyptic number.

12063614976 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 12063614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965985405).

12063614976 is an abundant number, since it is smaller than the sum of its proper divisors (31868355834).

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

12063614976 is a wasteful number, since it uses less digits than its factorization.

12063614976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12063614976 in words is "twelve billion, sixty-three million, six hundred fourteen thousand, nine hundred seventy-six".