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2663800832 = 21371141103
BaseRepresentation
bin1001111011000110…
…0110000000000000
320212122102002210002
42132301212000000
520423413111312
61120154255132
7123003635120
oct23661460000
96778362702
102663800832
111147711aa0
126241274a8
13335b50c14
141b3accc80
15108cd44c2
hex9ec66000

2663800832 has 224 divisors, whose sum is σ = 6869850624. Its totient is φ = 1002700800.

The previous prime is 2663800831. The next prime is 2663800837. The reversal of 2663800832 is 2380083662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663800831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25862093 + ... + 25862195.

It is an arithmetic number, because the mean of its divisors is an integer number (30668976).

Almost surely, 22663800832 is an apocalyptic number.

2663800832 is a gapful number since it is divisible by the number (22) 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 2663800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434925312).

2663800832 is an abundant number, since it is smaller than the sum of its proper divisors (4206049792).

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

2663800832 is a wasteful number, since it uses less digits than its factorization.

2663800832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2663800832 is about 51612.0221653831. The cubic root of 2663800832 is about 1386.2256059451.

The spelling of 2663800832 in words is "two billion, six hundred sixty-three million, eight hundred thousand, eight hundred thirty-two".