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5806628820 = 22325291112381
BaseRepresentation
bin1010110100001101…
…00001111111010100
3112222200012022021200
411122012201333110
543342444110240
62400104112500
7263615346666
oct53206417724
915880168250
105806628820
11250a7661a3
121160765730
13716cc2a55
143d1274536
1523eb8c930
hex15a1a1fd4

5806628820 has 72 divisors (see below), whose sum is σ = 18220817160. Its totient is φ = 1495038720.

The previous prime is 5806628819. The next prime is 5806628833. The reversal of 5806628820 is 288266085.

5806628820 is a `hidden beast` number, since 580 + 6 + 62 + 8 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5673924 + 5800954896 = 2382^2 + 76164^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 550971 + ... + 561410.

It is an arithmetic number, because the mean of its divisors is an integer number (253066905).

Almost surely, 25806628820 is an apocalyptic number.

It is an amenable number.

5806628820 is an abundant number, since it is smaller than the sum of its proper divisors (12414188340).

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

5806628820 is a wasteful number, since it uses less digits than its factorization.

5806628820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112425 (or 1112420 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5806628820 is about 76201.2389663055. The cubic root of 5806628820 is about 1797.3860020309.

The spelling of 5806628820 in words is "five billion, eight hundred six million, six hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 1112381 2224762 3337143 4449524 5561905 6674286 10011429 11123810 13348572 16685715 20022858 22247620 32259049 33371430 40045716 50057145 64518098 66742860 96777147 100114290 129036196 161295245 193554294 200228580 290331441 322590490 387108588 483885735 580662882 645180980 967771470 1161325764 1451657205 1935542940 2903314410 5806628820