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12927220488 = 23337135971157
BaseRepresentation
bin11000000101000010…
…11011101100001000
31020100220211211202000
430002201123230020
5202433332023423
65534431111000
7635230363320
oct140241335410
936326754660
1012927220488
1155340960a6
122609372460
1312b029bcc0
148a8c22280
15509d77843
hex30285bb08

12927220488 has 512 divisors, whose sum is σ = 45868032000. Its totient is φ = 3283338240.

The previous prime is 12927220487. The next prime is 12927220499. The reversal of 12927220488 is 88402272921.

It is a happy number.

12927220488 is a `hidden beast` number, since 12 + 92 + 72 + 2 + 0 + 488 = 666.

It is a super-2 number, since 2×129272204882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12927220487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82338906 + ... + 82339062.

It is an arithmetic number, because the mean of its divisors is an integer number (89586000).

Almost surely, 212927220488 is an apocalyptic number.

12927220488 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 12927220488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934016000).

12927220488 is an abundant number, since it is smaller than the sum of its proper divisors (32940811512).

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

12927220488 is a wasteful number, since it uses less digits than its factorization.

12927220488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12927220488 in words is "twelve billion, nine hundred twenty-seven million, two hundred twenty thousand, four hundred eighty-eight".