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664199676 = 22357314767
BaseRepresentation
bin100111100101101…
…110000111111100
31201021210211200000
4213211232013330
52330013342201
6145524034300
722313414130
oct4745560774
91637724600
10664199676
11310a18058
12166532990
13a77b627a
14642d93c0
153d49ed86
hex2796e1fc

664199676 has 288 divisors, whose sum is σ = 2129068032. Its totient is φ = 177059520.

The previous prime is 664199671. The next prime is 664199677. The reversal of 664199676 is 676991466.

It is a super-2 number, since 2×6641996762 = 882322419197009952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664199671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9913395 + ... + 9913461.

Almost surely, 2664199676 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 664199676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064534016).

664199676 is an abundant number, since it is smaller than the sum of its proper divisors (1464868356).

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

664199676 is a wasteful number, since it uses less digits than its factorization.

664199676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 664199676 is about 25772.0716280240. The cubic root of 664199676 is about 872.5015754084.

The spelling of 664199676 in words is "six hundred sixty-four million, one hundred ninety-nine thousand, six hundred seventy-six".