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12298467816 = 2334234797181
BaseRepresentation
bin10110111010000101…
…11011100111101000
31011202002201220020000
423131002323213220
5200141401432231
65352210503000
7613524152205
oct133502734750
934662656200
1012298467816
115241189998
122472894a60
13120cc470bb
14849512cac
154bea7a6e6
hex2dd0bb9e8

12298467816 has 320 divisors, whose sum is σ = 37292935680. Its totient is φ = 3777269760.

The previous prime is 12298467781. The next prime is 12298467817. The reversal of 12298467816 is 61876489221.

It is a happy number.

12298467816 is a `hidden beast` number, since 12 + 2 + 98 + 467 + 81 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12298467817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67947246 + ... + 67947426.

It is an arithmetic number, because the mean of its divisors is an integer number (116540424).

Almost surely, 212298467816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12298467816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646467840).

12298467816 is an abundant number, since it is smaller than the sum of its proper divisors (24994467864).

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

12298467816 is a wasteful number, since it uses less digits than its factorization.

12298467816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 12298467816 in words is "twelve billion, two hundred ninety-eight million, four hundred sixty-seven thousand, eight hundred sixteen".