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56834851920 = 243571122931311
BaseRepresentation
bin110100111011100111…
…110000010001010000
312102200220210121211120
4310323213300101100
51412344210230140
642035400042240
74051264161510
oct647347602120
9172626717746
1056834851920
1122115879500
12b021a63380
135489aa1bc2
142a7237b840
15172993b1d0
hexd3b9f0450

56834851920 has 960 divisors, whose sum is σ = 237104824320. Its totient is φ = 10999296000.

The previous prime is 56834851847. The next prime is 56834851921. The reversal of 56834851920 is 2915843865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56834851921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182748565 + ... + 182748875.

It is an arithmetic number, because the mean of its divisors is an integer number (246984192).

Almost surely, 256834851920 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 56834851920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552412160).

56834851920 is an abundant number, since it is smaller than the sum of its proper divisors (180269972400).

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

56834851920 is a wasteful number, since it uses less digits than its factorization.

56834851920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 56834851920 in words is "fifty-six billion, eight hundred thirty-four million, eight hundred fifty-one thousand, nine hundred twenty".