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66096376920 = 233357194211093
BaseRepresentation
bin111101100011101001…
…101010110001011000
320022121100222211201000
4331203221222301120
52040331133030140
650210402425000
74526633635230
oct754351526130
9208540884630
1066096376920
11260387552a2
1210987662160
13630479b602
1432b03cccc0
151abca76a30
hexf63a6ac58

66096376920 has 512 divisors, whose sum is σ = 265920768000. Its totient is φ = 14265538560.

The previous prime is 66096376847. The next prime is 66096376961. The reversal of 66096376920 is 2967369066.

It is a happy number.

66096376920 is a `hidden beast` number, since 6 + 609 + 6 + 3 + 7 + 6 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60471894 + ... + 60472986.

It is an arithmetic number, because the mean of its divisors is an integer number (519376500).

Almost surely, 266096376920 is an apocalyptic number.

66096376920 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 66096376920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132960384000).

66096376920 is an abundant number, since it is smaller than the sum of its proper divisors (199824391080).

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

66096376920 is a wasteful number, since it uses less digits than its factorization.

66096376920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 66096376920 in words is "sixty-six billion, ninety-six million, three hundred seventy-six thousand, nine hundred twenty".