Search a number
-
+
13321791360 = 273452311173
BaseRepresentation
bin11000110100000101…
…00110011110000000
31021101102022010020000
430122002212132000
5204240334310420
610041524120000
7651061233603
oct143202463600
937342263200
1013321791360
115716893029
1226b9536000
131343c5c3a7
149053b233a
1552e817690
hex31a0a6780

13321791360 has 320 divisors, whose sum is σ = 49647422880. Its totient is φ = 3397718016.

The previous prime is 13321791359. The next prime is 13321791421. The reversal of 13321791360 is 6319712331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1186734 + ... + 1197906.

Almost surely, 213321791360 is an apocalyptic number.

13321791360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24823711440).

13321791360 is an abundant number, since it is smaller than the sum of its proper divisors (36325631520).

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

13321791360 is a wasteful number, since it uses less digits than its factorization.

13321791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 13321791360 in words is "thirteen billion, three hundred twenty-one million, seven hundred ninety-one thousand, three hundred sixty".