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66104176320 = 263257131737401
BaseRepresentation
bin111101100100000111…
…011010111011000000
320022121220200002110200
4331210013122323000
52040340132120240
650211241525200
74530060141060
oct754407327300
9208556602420
1066104176320
11260420a2086
121098a1a3800
13630629c640
1432b145d3a0
151abd5b7930
hexf641daec0

66104176320 has 1344 divisors, whose sum is σ = 305069296896. Its totient is φ = 12740198400.

The previous prime is 66104176291. The next prime is 66104176331. The reversal of 66104176320 is 2367140166.

It is a happy number.

66104176320 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 4 + 17 + 632 + 0 = 666.

66104176320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164848120 + ... + 164848520.

It is an arithmetic number, because the mean of its divisors is an integer number (226986084).

Almost surely, 266104176320 is an apocalyptic number.

66104176320 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 66104176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152534648448).

66104176320 is an abundant number, since it is smaller than the sum of its proper divisors (238965120576).

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

66104176320 is a wasteful number, since it uses less digits than its factorization.

66104176320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 66104176320 in words is "sixty-six billion, one hundred four million, one hundred seventy-six thousand, three hundred twenty".