Search a number
-
+
13650344064 = 273273375023
BaseRepresentation
bin11001011011001111…
…11011100010000000
31022020022112022210200
430231213323202000
5210423442002224
610134302125200
7662161003320
oct145547734200
938208468720
1013650344064
115875299595
12278b580800
131397046486
14936c99280
1554d5b65c9
hex32d9fb880

13650344064 has 192 divisors, whose sum is σ = 45033930240. Its totient is φ = 3887751168.

The previous prime is 13650344041. The next prime is 13650344069. The reversal of 13650344064 is 46044305631.

13650344064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 (13650344069) 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 23 ways as a sum of consecutive naturals, for example, 2715057 + ... + 2720079.

It is an arithmetic number, because the mean of its divisors is an integer number (234551720).

Almost surely, 213650344064 is an apocalyptic number.

13650344064 is a gapful number since it is divisible by the number (14) 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 13650344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516965120).

13650344064 is an abundant number, since it is smaller than the sum of its proper divisors (31383586176).

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

13650344064 is a wasteful number, since it uses less digits than its factorization.

13650344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13650344064 its reverse (46044305631), we get a palindrome (59694649695).

The spelling of 13650344064 in words is "thirteen billion, six hundred fifty million, three hundred forty-four thousand, sixty-four".