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666629964 = 22327111321423
BaseRepresentation
bin100111101110111…
…111011101001100
31201110101022101200
4213232333131030
52331124124324
6150052105500
722343155410
oct4756773514
91643338350
10666629964
11312327a60
12167305290
13a8157500
146476cd40
153d7ceec9
hex27bbf74c

666629964 has 216 divisors, whose sum is σ = 2276531712. Its totient is φ = 159719040.

The previous prime is 666629963. The next prime is 666629969. The reversal of 666629964 is 469926666.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 666629964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666629963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 467757 + ... + 469179.

Almost surely, 2666629964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666629964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138265856).

666629964 is an abundant number, since it is smaller than the sum of its proper divisors (1609901748).

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

666629964 is a wasteful number, since it uses less digits than its factorization.

666629964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1459 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 666629964 is about 25819.1782208497. The cubic root of 666629964 is about 873.5644330758.

The spelling of 666629964 in words is "six hundred sixty-six million, six hundred twenty-nine thousand, nine hundred sixty-four".