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56483533260 = 22325711217193137
BaseRepresentation
bin110100100110101011…
…100101000111001100
312101210102201210020100
4310212223211013030
51411134241031020
641540450051100
74036500053040
oct644653450714
9171712653210
1056483533260
1121a55533600
12ab44279a90
13543207673b
142a3b84a020
151708b91a90
hexd26ae51cc

56483533260 has 1728 divisors, whose sum is σ = 254314045440. Its totient is φ = 9853747200.

The previous prime is 56483533237. The next prime is 56483533261. The reversal of 56483533260 is 6233538465.

56483533260 is a `hidden beast` number, since 56 + 4 + 8 + 3 + 533 + 2 + 60 = 666.

56483533260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56483533261) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1526581962 + ... + 1526581998.

It is an arithmetic number, because the mean of its divisors is an integer number (147172480).

Almost surely, 256483533260 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 56483533260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127157022720).

56483533260 is an abundant number, since it is smaller than the sum of its proper divisors (197830512180).

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

56483533260 is a wasteful number, since it uses less digits than its factorization.

56483533260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 56483533260 in words is "fifty-six billion, four hundred eighty-three million, five hundred thirty-three thousand, two hundred sixty".