Search a number
-
+
120010604064 = 253134115714939
BaseRepresentation
bin110111111000100110…
…0000111111000100000
3102110202202010100112120
41233301030013320200
53431240203312224
6131044311424240
711445655206021
oct1576114077040
9373682110476
10120010604064
114699494810a
121b313385080
13b41745ab70
145b46906c48
1531c5d9c779
hex1bf1307e20

120010604064 has 192 divisors, whose sum is σ = 349772411520. Its totient is φ = 35793838080.

The previous prime is 120010604053. The next prime is 120010604069. The reversal of 120010604064 is 460406010021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120010604069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8025907 + ... + 8040845.

It is an arithmetic number, because the mean of its divisors is an integer number (1821731310).

Almost surely, 2120010604064 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 120010604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174886205760).

120010604064 is an abundant number, since it is smaller than the sum of its proper divisors (229761807456).

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

120010604064 is a wasteful number, since it uses less digits than its factorization.

120010604064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15163 (or 15155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120010604064 its reverse (460406010021), we get a palindrome (580416614085).

The spelling of 120010604064 in words is "one hundred twenty billion, ten million, six hundred four thousand, sixty-four".