Search a number
-
+
66104180268 = 223729732511481
BaseRepresentation
bin111101100100000111…
…011011111000101100
320022121220200021212220
4331210013123320230
52040340132232033
650211241555340
74530060155430
oct754407337054
9208556607786
1066104180268
11260420a5045
121098a1a5b50
1363062a1389
1432b14609c0
151abd5b8bb3
hexf641dbe2c

66104180268 has 192 divisors, whose sum is σ = 185716177920. Its totient is φ = 17902080000.

The previous prime is 66104180267. The next prime is 66104180291. The reversal of 66104180268 is 86208140166.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (66104180267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44634088 + ... + 44635568.

It is an arithmetic number, because the mean of its divisors is an integer number (967271760).

Almost surely, 266104180268 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 66104180268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92858088960).

66104180268 is an abundant number, since it is smaller than the sum of its proper divisors (119611997652).

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

66104180268 is a wasteful number, since it uses less digits than its factorization.

66104180268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 66104180268 in words is "sixty-six billion, one hundred four million, one hundred eighty thousand, two hundred sixty-eight".