Search a number
-
+
66064466040 = 233519412392957
BaseRepresentation
bin111101100001101111…
…111100000001111000
320022112010221121012120
4331201233330001320
52040300000403130
650203302441240
74526065460466
oct754157740170
9208463847176
1066064466040
112602173a171
1210978a33220
1362caca7931
1432aa083836
151ab9d71910
hexf61bfc078

66064466040 has 256 divisors, whose sum is σ = 214679808000. Its totient is φ = 16209285120.

The previous prime is 66064466029. The next prime is 66064466057. The reversal of 66064466040 is 4066446066.

It is a junction number, because it is equal to n+sod(n) for n = 66064465983 and 66064466001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22340242 + ... + 22343198.

It is an arithmetic number, because the mean of its divisors is an integer number (838593000).

Almost surely, 266064466040 is an apocalyptic number.

66064466040 is a gapful number since it is divisible by the number (60) 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 66064466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107339904000).

66064466040 is an abundant number, since it is smaller than the sum of its proper divisors (148615341960).

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

66064466040 is a wasteful number, since it uses less digits than its factorization.

66064466040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 66064466040 in words is "sixty-six billion, sixty-four million, four hundred sixty-six thousand, forty".