Search a number
-
+
805621134096 = 2432747972
BaseRepresentation
bin10111011100100101100…
…00101111001100010000
32212000110010021221100100
423232102300233030100
5101144403002242341
61414033000452400
7112130020440042
oct13562260571420
92760403257310
10805621134096
11290731144a69
12110174a7a100
135ac7b6c351c
142adc6b11a92
1515e51a3d3b6
hexbb92c2f310

805621134096 has 45 divisors (see below), whose sum is σ = 2254650400821. Its totient is φ = 268536787776.

The previous prime is 805621134079. The next prime is 805621134139. The reversal of 805621134096 is 690431126508.

The square root of 805621134096 is 897564.

It is a perfect power (a square), and thus also a powerful number.

805621134096 is a `hidden beast` number, since 8 + 0 + 5 + 6 + 211 + 340 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29220483600 + 776400650496 = 170940^2 + 881136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10733370 + ... + 10808166.

Almost surely, 2805621134096 is an apocalyptic number.

805621134096 is the 897564-th square number.

It is an amenable number.

805621134096 is an abundant number, since it is smaller than the sum of its proper divisors (1449029266725).

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

805621134096 is an frugal number, since it uses more digits than its factorization.

805621134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149608 (or 74802 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 805621134096 in words is "eight hundred five billion, six hundred twenty-one million, one hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 74797 149594 224391 299188 448782 598376 673173 897564 1196752 1346346 1795128 2692692 3590256 5385384 10770768 5594591209 11189182418 16783773627 22378364836 33567547254 44756729672 50351320881 67135094508 89513459344 100702641762 134270189016 201405283524 268540378032 402810567048 805621134096