Search a number
-
+
13352391360 = 26325711193169
BaseRepresentation
bin11000110111101110…
…10101001011000000
31021110112212202112100
430123313111023000
5204321203010420
610044540030400
7651612311460
oct143367251300
937415782470
1013352391360
115732093290
122707832400
13134a3b44b9
14909499ba0
1553235e190
hex31bdd52c0

13352391360 has 672 divisors, whose sum is σ = 60291878400. Its totient is φ = 2627665920.

The previous prime is 13352391359. The next prime is 13352391361. The reversal of 13352391360 is 6319325331.

13352391360 is a `hidden beast` number, since 13 + 3 + 523 + 91 + 36 + 0 = 666.

13352391360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13352391359) and next prime (13352391361).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (13352391361) 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 95 ways as a sum of consecutive naturals, for example, 4211856 + ... + 4215024.

Almost surely, 213352391360 is an apocalyptic number.

13352391360 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 13352391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30145939200).

13352391360 is an abundant number, since it is smaller than the sum of its proper divisors (46939487040).

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

13352391360 is a wasteful number, since it uses less digits than its factorization.

13352391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 13352391360 in words is "thirteen billion, three hundred fifty-two million, three hundred ninety-one thousand, three hundred sixty".