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56838023180928 = 2734112103439867
BaseRepresentation
bin11001110110001101000100…
…01011100111001010000000
321110020122212120011021120000
430323012202023213022000
524422213232413242203
6320515005525320000
714654261125431243
oct1473064213471200
9243218776137500
1056838023180928
1117123963359900
12645b70ab66000
132593a58392862
141006d9158725a
1568874a08c4a3
hex33b1a22e7280

56838023180928 has 480 divisors, whose sum is σ = 187729662600480. Its totient is φ = 17056384773120.

The previous prime is 56838023180819. The next prime is 56838023180957. The reversal of 56838023180928 is 82908132083865.

56838023180928 is a `hidden beast` number, since 5 + 68 + 380 + 2 + 31 + 80 + 92 + 8 = 666.

It is a super-3 number, since 3×568380231809283 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 128996451 + ... + 129436317.

It is an arithmetic number, because the mean of its divisors is an integer number (391103463751).

Almost surely, 256838023180928 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 56838023180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93864831300240).

56838023180928 is an abundant number, since it is smaller than the sum of its proper divisors (130891639419552).

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

56838023180928 is a wasteful number, since it uses less digits than its factorization.

56838023180928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440018 (or 439986 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 56838023180928 in words is "fifty-six trillion, eight hundred thirty-eight billion, twenty-three million, one hundred eighty thousand, nine hundred twenty-eight".