Search a number
-
+
56034478080 = 21135573217
BaseRepresentation
bin110100001011111010…
…100100100000000000
312100122010202102100000
4310023322210200000
51404224311244310
641424125200000
74022405130210
oct641372444000
9170563672300
1056034478080
1121845002819
12aa39a00000
13539001ab09
1429d7d56240
1516ce53d4c0
hexd0bea4800

56034478080 has 576 divisors, whose sum is σ = 230240949120. Its totient is φ = 12803899392.

The previous prime is 56034478069. The next prime is 56034478139. The reversal of 56034478080 is 8087443065.

56034478080 is a `hidden beast` number, since 56 + 0 + 3 + 447 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17416632 + ... + 17419848.

It is an arithmetic number, because the mean of its divisors is an integer number (399723870).

Almost surely, 256034478080 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 56034478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115120474560).

56034478080 is an abundant number, since it is smaller than the sum of its proper divisors (174206471040).

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

56034478080 is an equidigital number, since it uses as much as digits as its factorization.

56034478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 56034478080 in words is "fifty-six billion, thirty-four million, four hundred seventy-eight thousand, eighty".