Search a number
-
+
66066346632 = 2331113231371291
BaseRepresentation
bin111101100001110111…
…000111001010001000
320022112021111010220010
4331201313013022020
52040300441043012
650203411031520
74526120452326
oct754167071210
9208467433803
1066066346632
1126022804080
121097959b5a0
1362cb4b5900
1432aa412d16
151aba0e3c3c
hexf61dc7288

66066346632 has 384 divisors, whose sum is σ = 207004446720. Its totient is φ = 17387136000.

The previous prime is 66066346547. The next prime is 66066346639. The reversal of 66066346632 is 23664366066.

66066346632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66066346639) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51173907 + ... + 51175197.

It is an arithmetic number, because the mean of its divisors is an integer number (539074080).

Almost surely, 266066346632 is an apocalyptic number.

66066346632 is a gapful number since it is divisible by the number (62) 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 66066346632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103502223360).

66066346632 is an abundant number, since it is smaller than the sum of its proper divisors (140938100088).

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

66066346632 is a wasteful number, since it uses less digits than its factorization.

66066346632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 48.

The spelling of 66066346632 in words is "sixty-six billion, sixty-six million, three hundred forty-six thousand, six hundred thirty-two".