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66692808000 = 263553713229
BaseRepresentation
bin111110000111001100…
…110111110101000000
320101010221021200100000
4332013030313311000
52043041324324000
650345510200000
74550465341320
oct760714676500
9211127250300
1066692808000
1126314395845
1210b13353000
13639b217900
1433296c7280
151b050dc000
hexf87337d40

66692808000 has 2016 divisors, whose sum is σ = 316732066560. Its totient is φ = 13586227200.

The previous prime is 66692807983. The next prime is 66692808037. The reversal of 66692808000 is 80829666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 2299751986 + ... + 2299752014.

It is an arithmetic number, because the mean of its divisors is an integer number (157109160).

Almost surely, 266692808000 is an apocalyptic number.

66692808000 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 66692808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158366033280).

66692808000 is an abundant number, since it is smaller than the sum of its proper divisors (250039258560).

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

66692808000 is a wasteful number, since it uses less digits than its factorization.

66692808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 66692808000 in words is "sixty-six billion, six hundred ninety-two million, eight hundred eight thousand".