Search a number
-
+
13231299968 = 27319773413
BaseRepresentation
bin11000101001010010…
…11001110110000000
31021011010000200100222
430110221121312000
5204044203044333
610024532402212
7645612123365
oct142451316600
937133020328
1013231299968
11567a7a6557
122693176368
13132b2978a3
148d737846c
155268e0298
hex314a59d80

13231299968 has 64 divisors (see below), whose sum is σ = 27245358720. Its totient is φ = 6393815040.

The previous prime is 13231299959. The next prime is 13231299989. The reversal of 13231299968 is 86999213231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3875030 + ... + 3878442.

It is an arithmetic number, because the mean of its divisors is an integer number (425708730).

Almost surely, 213231299968 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 13231299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622679360).

13231299968 is an abundant number, since it is smaller than the sum of its proper divisors (14014058752).

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

13231299968 is an equidigital number, since it uses as much as digits as its factorization.

13231299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4423 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 53.

The spelling of 13231299968 in words is "thirteen billion, two hundred thirty-one million, two hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 977 992 1954 1984 3413 3908 3968 6826 7816 13652 15632 27304 30287 31264 54608 60574 62528 105803 109216 121148 125056 211606 218432 242296 423212 436864 484592 846424 969184 1692848 1938368 3334501 3385696 3876736 6669002 6771392 13338004 13542784 26676008 53352016 103369531 106704032 206739062 213408064 413478124 426816128 826956248 1653912496 3307824992 6615649984 13231299968