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56949547536 = 24327213758913
BaseRepresentation
bin110101000010011101…
…010010001000010000
312102222220121202122100
4311002131102020100
51413113041010121
642055014240400
74054156111200
oct650235221020
9172886552570
1056949547536
1122174597a72
12b054356100
1354a778c62b
142a836b6400
151734a45026
hexd42752210

56949547536 has 180 divisors, whose sum is σ = 186757262172. Its totient is φ = 16152256512.

The previous prime is 56949547519. The next prime is 56949547537. The reversal of 56949547536 is 63574594965.

56949547536 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 95 + 4 + 7 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37034693136 + 19914854400 = 192444^2 + 141120^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56949547537) 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, 937216 + ... + 996128.

Almost surely, 256949547536 is an apocalyptic number.

56949547536 is a gapful number since it is divisible by the number (56) 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 56949547536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93378631086).

56949547536 is an abundant number, since it is smaller than the sum of its proper divisors (129807714636).

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

56949547536 is a wasteful number, since it uses less digits than its factorization.

56949547536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59078 (or 59062 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 56949547536 in words is "fifty-six billion, nine hundred forty-nine million, five hundred forty-seven thousand, five hundred thirty-six".