Search a number
-
+
66530709504 = 2123771061
BaseRepresentation
bin111101111101100010…
…100001000000000000
320100201122021020000000
4331331202201000000
52042223330201004
650321440000000
74543456462050
oct757542410000
9210648236000
1066530709504
112624093a846
1210a89000000
136373770c3c
143311d6d560
151ae5c6cc39
hexf7d8a1000

66530709504 has 416 divisors, whose sum is σ = 228257614080. Its totient is φ = 18990858240.

The previous prime is 66530709503. The next prime is 66530709587. The reversal of 66530709504 is 40590703566.

66530709504 is a `hidden beast` number, since 66 + 530 + 7 + 0 + 9 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66530709504.

It is not an unprimeable number, because it can be changed into a prime (66530709503) 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, 62705134 + ... + 62706194.

Almost surely, 266530709504 is an apocalyptic number.

66530709504 is a gapful number since it is divisible by the number (64) 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 66530709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114128807040).

66530709504 is an abundant number, since it is smaller than the sum of its proper divisors (161726904576).

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

66530709504 is an frugal number, since it uses more digits than its factorization.

66530709504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 66530709504 in words is "sixty-six billion, five hundred thirty million, seven hundred nine thousand, five hundred four".