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56848690080 = 25345713194359
BaseRepresentation
bin110100111100011100…
…100010101110100000
312102201212211200020000
4310330130202232200
51412411231040310
642041012420000
74051522615140
oct647434425640
9172655750200
1056848690080
11221226702a6
12b026617600
13548c908770
142a74140920
15172ac714c0
hexd3c722ba0

56848690080 has 1920 divisors, whose sum is σ = 270476236800. Its totient is φ = 10910785536.

The previous prime is 56848690057. The next prime is 56848690147. The reversal of 56848690080 is 8009684865.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56848689999 and 56848690026.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 963537091 + ... + 963537149.

It is an arithmetic number, because the mean of its divisors is an integer number (140873040).

Almost surely, 256848690080 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 56848690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135238118400).

56848690080 is an abundant number, since it is smaller than the sum of its proper divisors (213627546720).

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

56848690080 is a wasteful number, since it uses less digits than its factorization.

56848690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 56848690080 in words is "fifty-six billion, eight hundred forty-eight million, six hundred ninety thousand, eighty".