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5774808960 = 273253132341
BaseRepresentation
bin1010110000011010…
…01001011110000000
3112220110022200122100
411120031021132000
543311322341320
62353010110400
7263051031504
oct53015113600
915813280570
105774808960
1124a3802498
121151b7b400
1371053162b
143cad50304
1523bea4790
hex158349780

5774808960 has 192 divisors, whose sum is σ = 20585036160. Its totient is φ = 1490227200.

The previous prime is 5774808953. The next prime is 5774808979. The reversal of 5774808960 is 698084775.

5774808960 is a `hidden beast` number, since 5 + 77 + 480 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 5774808897 and 5774808906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162390 + ... + 194730.

It is an arithmetic number, because the mean of its divisors is an integer number (107213730).

Almost surely, 25774808960 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 5774808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10292518080).

5774808960 is an abundant number, since it is smaller than the sum of its proper divisors (14810227200).

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

5774808960 is a wasteful number, since it uses less digits than its factorization.

5774808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32397 (or 32382 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5774808960 is about 75992.1638065399. The cubic root of 5774808960 is about 1794.0968095019.

The spelling of 5774808960 in words is "five billion, seven hundred seventy-four million, eight hundred eight thousand, nine hundred sixty".