Search a number
-
+
65505506606076 = 22323471031492931123
BaseRepresentation
bin11101110010011101100000…
…11100111011101111111100
322120221021011101100221002010
432321032300130323233330
532041220234142343301
6351152451515531220
716540421343104325
oct1671166034735774
9276837141327063
1065505506606076
1119965802832779
12741b4a5759b10
132a721b1877cc4
1412266aa79944c
15788e3657e5d6
hex3b93b073bbfc

65505506606076 has 384 divisors, whose sum is σ = 166283344281600. Its totient is φ = 20020646587392.

The previous prime is 65505506606027. The next prime is 65505506606093. The reversal of 65505506606076 is 67060660550556.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58330815651 + ... + 58330816773.

It is an arithmetic number, because the mean of its divisors is an integer number (433029542400).

Almost surely, 265505506606076 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 65505506606076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83141672140800).

65505506606076 is an abundant number, since it is smaller than the sum of its proper divisors (100777837675524).

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

65505506606076 is a wasteful number, since it uses less digits than its factorization.

65505506606076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 57.

The spelling of 65505506606076 in words is "sixty-five trillion, five hundred five billion, five hundred six million, six hundred six thousand, seventy-six".