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12248259468 = 2233676194493
BaseRepresentation
bin10110110100000110…
…11001101110001100
31011121121021001022120
423122003121232030
5200041023300333
65343214412540
7612344326164
oct133203315614
934547231276
1012248259468
115215906695
122459b01150
131202717c13
148429a35a4
154ba45ddb3
hex2da0d9b8c

12248259468 has 48 divisors (see below), whose sum is σ = 28709829120. Its totient is φ = 4064145984.

The previous prime is 12248259431. The next prime is 12248259469. The reversal of 12248259468 is 86495284221.

12248259468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12248259468.

It is not an unprimeable number, because it can be changed into a prime (12248259469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723830 + ... + 2728322.

It is an arithmetic number, because the mean of its divisors is an integer number (598121440).

Almost surely, 212248259468 is an apocalyptic number.

It is an amenable number.

12248259468 is an abundant number, since it is smaller than the sum of its proper divisors (16461569652).

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

12248259468 is a wasteful number, since it uses less digits than its factorization.

12248259468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5484 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 12248259468 in words is "twelve billion, two hundred forty-eight million, two hundred fifty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 367 619 734 1101 1238 1468 1857 2202 2476 3714 4404 4493 7428 8986 13479 17972 26958 53916 227173 454346 681519 908692 1363038 1648931 2726076 2781167 3297862 4946793 5562334 6595724 8343501 9893586 11124668 16687002 19787172 33374004 1020688289 2041376578 3062064867 4082753156 6124129734 12248259468