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13029822450 = 2325253812
BaseRepresentation
bin11000010001010001…
…10100111111110010
31020122001220120011200
430020220310333302
5203141113304300
65552534152030
7640614443361
oct141050647762
936561816150
1013029822450
115586aa4507
1226377b2616
1312c8613c18
148b86cd7d8
15513d93200
hex308a34ff2

13029822450 has 54 divisors (see below), whose sum is σ = 35013296487. Its totient is φ = 3473973600.

The previous prime is 13029822439. The next prime is 13029822457. The reversal of 13029822450 is 5422892031.

It is a happy number.

13029822450 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 5 ways, for example, as 2620313721 + 10409508729 = 51189^2 + 102027^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80715.

It is not an unprimeable number, because it can be changed into a prime (13029822457) 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 26 ways as a sum of consecutive naturals, for example, 2418760 + ... + 2424140.

Almost surely, 213029822450 is an apocalyptic number.

13029822450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13029822450 is an abundant number, since it is smaller than the sum of its proper divisors (21983474037).

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

13029822450 is an frugal number, since it uses more digits than its factorization.

13029822450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13029822450 in words is "thirteen billion, twenty-nine million, eight hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 5381 10762 16143 26905 32286 48429 53810 80715 96858 134525 161430 242145 269050 403575 484290 807150 1210725 2421450 28955161 57910322 86865483 144775805 173730966 260596449 289551610 434327415 521192898 723879025 868654830 1302982245 1447758050 2171637075 2605964490 4343274150 6514911225 13029822450