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56483078400 = 28325271973101
BaseRepresentation
bin110100100110101001…
…110110000100000000
312101210101212200021200
4310212221312010000
51411134132002100
641540432221200
74036463146650
oct644651660400
9171711780250
1056483078400
1121a55252891
12ab4409a800
135431c476a8
142a3b76c360
151708b01e00
hexd26a76100

56483078400 has 1296 divisors, whose sum is σ = 248701165440. Its totient is φ = 11943936000.

The previous prime is 56483078389. The next prime is 56483078401. The reversal of 56483078400 is 487038465.

56483078400 is a `hidden beast` number, since 564 + 8 + 3 + 0 + 7 + 84 + 0 + 0 = 666.

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 (56483078401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 559238350 + ... + 559238450.

Almost surely, 256483078400 is an apocalyptic number.

56483078400 is a gapful number since it is divisible by the number (50) 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 56483078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124350582720).

56483078400 is an abundant number, since it is smaller than the sum of its proper divisors (192218087040).

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

56483078400 is a wasteful number, since it uses less digits than its factorization.

56483078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

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

The spelling of 56483078400 in words is "fifty-six billion, four hundred eighty-three million, seventy-eight thousand, four hundred".