Search a number
-
+
5475976331904 = 2732132211133303
BaseRepresentation
bin100111110101111100110…
…0111111100001010000000
3201101111110012120001102200
41033223321213330022000
51204204244420110104
615351343453113200
71103424540554031
oct117537147741200
921344405501380
105475976331904
111821391976601
12745345488800
133094c8049b00
1414d07816ca88
159769923ab39
hex4faf99fc280

5475976331904 has 288 divisors, whose sum is σ = 17144059476960. Its totient is φ = 1676917831680.

The previous prime is 5475976331869. The next prime is 5475976331941. The reversal of 5475976331904 is 4091336795745.

It is a happy number.

5475976331904 is a `hidden beast` number, since 5 + 4 + 7 + 597 + 6 + 3 + 31 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41012517 + ... + 41145819.

It is an arithmetic number, because the mean of its divisors is an integer number (59527984295).

Almost surely, 25475976331904 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 5475976331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8572029738480).

5475976331904 is an abundant number, since it is smaller than the sum of its proper divisors (11668083145056).

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

5475976331904 is a wasteful number, since it uses less digits than its factorization.

5475976331904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133560 (or 133532 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 5475976331904 in words is "five trillion, four hundred seventy-five billion, nine hundred seventy-six million, three hundred thirty-one thousand, nine hundred four".