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56200122405504 = 273271123227312119
BaseRepresentation
bin11001100011101000111000…
…10101010001001010000000
321100222200100011022100022200
430301310130111101022000
524331240322313434004
6315305551350033200
714560216265336550
oct1461643425211200
9240880304270280
1056200122405504
11169a8379a66810
126377b63348800
13254885855ba1c
14dc415985d160
15676d62b9a239
hex331d1c551280

56200122405504 has 768 divisors, whose sum is σ = 210503386828800. Its totient is φ = 13955468820480.

The previous prime is 56200122405463. The next prime is 56200122405517. The reversal of 56200122405504 is 40550422100265.

56200122405504 is a `hidden beast` number, since 5 + 6 + 20 + 0 + 122 + 4 + 0 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4637350357 + ... + 4637362475.

It is an arithmetic number, because the mean of its divisors is an integer number (274092951600).

Almost surely, 256200122405504 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 56200122405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105251693414400).

56200122405504 is an abundant number, since it is smaller than the sum of its proper divisors (154303264423296).

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

56200122405504 is a wasteful number, since it uses less digits than its factorization.

56200122405504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14453 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 56200122405504 its reverse (40550422100265), we get a palindrome (96750544505769).

The spelling of 56200122405504 in words is "fifty-six trillion, two hundred billion, one hundred twenty-two million, four hundred five thousand, five hundred four".