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666146880 = 263257173191
BaseRepresentation
bin100111101101001…
…001100001000000
31201102110202201200
4213231021201000
52331013200010
6150033501200
722336104120
oct4755114100
91642422650
10666146880
11312028013
12167111800
13a8018669
1464684c80
153d736cc0
hex27b49840

666146880 has 336 divisors, whose sum is σ = 2647517184. Its totient is φ = 150589440.

The previous prime is 666146869. The next prime is 666146911. The reversal of 666146880 is 88641666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3487585 + ... + 3487775.

Almost surely, 2666146880 is an apocalyptic number.

666146880 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 666146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323758592).

666146880 is an abundant number, since it is smaller than the sum of its proper divisors (1981370304).

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

666146880 is a wasteful number, since it uses less digits than its factorization.

666146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 666146880 is about 25809.8213864412. The cubic root of 666146880 is about 873.3533679662.

The spelling of 666146880 in words is "six hundred sixty-six million, one hundred forty-six thousand, eight hundred eighty".