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6636004128 = 2532131726133
BaseRepresentation
bin1100010111000100…
…10110001100100000
3122010110210221022200
412023202112030200
5102042304113003
63014252333200
7323306050545
oct61342261440
918113727280
106636004128
1128a5940136
121352474200
13819a8c480
1446d488bcc
1528c8b86a3
hex18b896320

6636004128 has 216 divisors, whose sum is σ = 21592060308. Its totient is φ = 1921425408.

The previous prime is 6636004121. The next prime is 6636004147. The reversal of 6636004128 is 8214006366.

6636004128 is a `hidden beast` number, since 6 + 6 + 3 + 600 + 41 + 2 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5713545744 + 922458384 = 75588^2 + 30372^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6636004092 and 6636004101.

It is not an unprimeable number, because it can be changed into a prime (6636004121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1078950 + ... + 1085082.

Almost surely, 26636004128 is an apocalyptic number.

6636004128 is a gapful number since it is divisible by the number (68) 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 6636004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796030154).

6636004128 is an abundant number, since it is smaller than the sum of its proper divisors (14956056180).

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

6636004128 is a wasteful number, since it uses less digits than its factorization.

6636004128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6636004128 is about 81461.6727547379. The cubic root of 6636004128 is about 1879.1821672921.

The spelling of 6636004128 in words is "six billion, six hundred thirty-six million, four thousand, one hundred twenty-eight".