Search a number
-
+
805367055424 = 26172304914281
BaseRepresentation
bin10111011100000111001…
…11100000010001000000
32211222210102012101221011
423232003213200101000
5101143342431233144
61413551443010304
7112120514006641
oct13560347402100
92758712171834
10805367055424
11290610785998
12110103969994
135ac3ab83509
142ada10936c8
1515e395a0a34
hexbb839e0440

805367055424 has 84 divisors (see below), whose sum is σ = 1698364738900. Its totient is φ = 378845429760.

The previous prime is 805367055403. The next prime is 805367055487. The reversal of 805367055424 is 424550763508.

It can be written as a sum of positive squares in 6 ways, for example, as 78153793600 + 727213261824 = 279560^2 + 852768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56387164 + ... + 56401444.

Almost surely, 2805367055424 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 805367055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849182369450).

805367055424 is an abundant number, since it is smaller than the sum of its proper divisors (892997683476).

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

805367055424 is a wasteful number, since it uses less digits than its factorization.

805367055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17376 (or 17349 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 49.

The spelling of 805367055424 in words is "eight hundred five billion, three hundred sixty-seven million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 3049 4624 6098 9248 12196 14281 18496 24392 28562 48784 51833 57124 97568 103666 114248 195136 207332 228496 242777 414664 456992 485554 829328 881161 913984 971108 1658656 1762322 1942216 3317312 3524644 3884432 4127209 7049288 7768864 8254418 14098576 15537728 16508836 28197152 33017672 43542769 56394304 66035344 87085538 132070688 174171076 264141376 348342152 696684304 740227073 1393368608 1480454146 2786737216 2960908292 5921816584 11843633168 12583860241 23687266336 25167720482 47374532672 50335440964 100670881928 201341763856 402683527712 805367055424