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66008880 = 24325721871
BaseRepresentation
bin1111101111001…
…1011100110000
311121012121011100
43323303130300
5113344241010
610314444400
71431031500
oct373633460
9147177140
1066008880
11342954a3
121a133700
13108a2012
148aa3a00
155bdd2c0
hex3ef3730

66008880 has 180 divisors, whose sum is σ = 258010272. Its totient is φ = 15079680.

The previous prime is 66008879. The next prime is 66008911. The reversal of 66008880 is 8880066.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 34345 + ... + 36215.

Almost surely, 266008880 is an apocalyptic number.

66008880 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 66008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129005136).

66008880 is an abundant number, since it is smaller than the sum of its proper divisors (192001392).

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

66008880 is a wasteful number, since it uses less digits than its factorization.

66008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 66008880 is about 8124.5849124740. The cubic root of 66008880 is about 404.1421255986.

The spelling of 66008880 in words is "sixty-six million, eight thousand, eight hundred eighty".