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5804394264 = 23322331711057
BaseRepresentation
bin1010110011111100…
…00000011100011000
3112222111222210001100
411121332000130120
543341411104024
62355544151400
7263560352154
oct53176003430
915874883040
105804394264
11250947a359
12115ba68560
137166bc926
143d0c52064
1523e89a7c9
hex159f80718

5804394264 has 96 divisors (see below), whose sum is σ = 16456957920. Its totient is φ = 1844671488.

The previous prime is 5804394229. The next prime is 5804394289. The reversal of 5804394264 is 4624934085.

5804394264 is a `hidden beast` number, since 580 + 4 + 3 + 9 + 4 + 2 + 64 = 666.

It is a super-2 number, since 2×58043942642 = 67381985543912203392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519424 + ... + 530480.

It is an arithmetic number, because the mean of its divisors is an integer number (171426645).

Almost surely, 25804394264 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 5804394264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228478960).

5804394264 is an abundant number, since it is smaller than the sum of its proper divisors (10652563656).

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

5804394264 is a wasteful number, since it uses less digits than its factorization.

5804394264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409 (or 11402 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5804394264 is about 76186.5753528796. The cubic root of 5804394264 is about 1797.1554106893.

The spelling of 5804394264 in words is "five billion, eight hundred four million, three hundred ninety-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 317 414 552 634 828 951 1268 1656 1902 2536 2853 3804 5706 7291 7608 11057 11412 14582 21873 22114 22824 29164 33171 43746 44228 58328 65619 66342 87492 88456 99513 131238 132684 174984 199026 254311 262476 265368 398052 508622 524952 762933 796104 1017244 1525866 2034488 2288799 3051732 3505069 4577598 6103464 7010138 9155196 10515207 14020276 18310392 21030414 28040552 31545621 42060828 63091242 80616587 84121656 126182484 161233174 241849761 252364968 322466348 483699522 644932696 725549283 967399044 1451098566 1934798088 2902197132 5804394264