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5806778112 = 28332959491
BaseRepresentation
bin1010110100001110…
…00110011100000000
3112222200110220002000
411122013012130000
543343013344422
62400111224000
7263616541152
oct53207063400
915880426060
105806778112
11250a858383
121160818000
137170459a5
143d12b2ad2
1523ebbbcac
hex15a1c6700

5806778112 has 288 divisors, whose sum is σ = 18101664000. Its totient is φ = 1833431040.

The previous prime is 5806778101. The next prime is 5806778129. The reversal of 5806778112 is 2118776085.

It is a happy number.

5806778112 is a `hidden beast` number, since 580 + 67 + 7 + 8 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 11826187 + ... + 11826677.

It is an arithmetic number, because the mean of its divisors is an integer number (62853000).

Almost surely, 25806778112 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 5806778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050832000).

5806778112 is an abundant number, since it is smaller than the sum of its proper divisors (12294885888).

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

5806778112 is a wasteful number, since it uses less digits than its factorization.

5806778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 5806778112 is about 76202.2185503808. The cubic root of 5806778112 is about 1797.4014058656.

The spelling of 5806778112 in words is "five billion, eight hundred six million, seven hundred seventy-eight thousand, one hundred twelve".