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12251449460 = 225612572473
BaseRepresentation
bin10110110100011111…
…00100100001110100
31011121211021010011102
423122033210201310
5200042332340320
65343411025232
7612413413355
oct133217444164
934554233142
1012251449460
115217695348
12245ab9b218
131203293ba3
14843193d2c
154ba88e175
hex2da3e4874

12251449460 has 12 divisors (see below), whose sum is σ = 25728043908. Its totient is φ = 4900579776.

The previous prime is 12251449459. The next prime is 12251449487. The reversal of 12251449460 is 6494415221.

12251449460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3984639376 + 8266810084 = 63124^2 + 90922^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 306286217 + ... + 306286256.

It is an arithmetic number, because the mean of its divisors is an integer number (2144003659).

Almost surely, 212251449460 is an apocalyptic number.

12251449460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12251449460 is an abundant number, since it is smaller than the sum of its proper divisors (13476594448).

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

12251449460 is a wasteful number, since it uses less digits than its factorization.

12251449460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612572482 (or 612572480 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 12251449460 in words is "twelve billion, two hundred fifty-one million, four hundred forty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 612572473 1225144946 2450289892 3062862365 6125724730 12251449460