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56482283520 = 214325137183
BaseRepresentation
bin110100100110100110…
…110100000000000000
312101210100101021220200
4310212212310000000
51411133431033040
641540403205200
74036453326345
oct644646640000
9171710337820
1056482283520
1121a5485a663
12ab43976800
135431a29950
142a3b6027cc
1517089e6630
hexd269b4000

56482283520 has 720 divisors, whose sum is σ = 216406899072. Its totient is φ = 13542359040.

The previous prime is 56482283509. The next prime is 56482283527. The reversal of 56482283520 is 2538228465.

56482283520 is a `hidden beast` number, since 5 + 6 + 48 + 2 + 2 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56482283527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680509399 + ... + 680509481.

Almost surely, 256482283520 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 56482283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108203449536).

56482283520 is an abundant number, since it is smaller than the sum of its proper divisors (159924615552).

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

56482283520 is a wasteful number, since it uses less digits than its factorization.

56482283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 56482283520 in words is "fifty-six billion, four hundred eighty-two million, two hundred eighty-three thousand, five hundred twenty".