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805696531236 = 223447210612
BaseRepresentation
bin10111011100101110100…
…00010110101100100100
32212000122101011111210000
423232113100112230210
5101200031302444421
61414044252501300
7112131624342552
oct13562720265444
92760571144700
10805696531236
1129076a761a53
1211019617a830
135ac9120180c
142add2b3abd2
1515e58483226
hexbb97416b24

805696531236 has 135 divisors (see below), whose sum is σ = 2154047398657. Its totient is φ = 262603611360.

The previous prime is 805696531207. The next prime is 805696531247. The reversal of 805696531236 is 632135696508.

It is a happy number.

The square root of 805696531236 is 897606.

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

805696531236 is a `hidden beast` number, since 8 + 0 + 569 + 6 + 53 + 1 + 23 + 6 = 666.

805696531236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 530575300836 + 275121230400 = 728406^2 + 524520^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 759374146 + ... + 759375206.

Almost surely, 2805696531236 is an apocalyptic number.

805696531236 is the 897606-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805696531236

805696531236 is an abundant number, since it is smaller than the sum of its proper divisors (1348350867421).

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

805696531236 is an equidigital number, since it uses as much as digits as its factorization.

805696531236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 805696531236 in words is "eight hundred five billion, six hundred ninety-six million, five hundred thirty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1061 1269 1692 2122 2209 2538 3183 3807 4244 4418 5076 6366 6627 7614 8836 9549 12732 13254 15228 19098 19881 26508 28647 38196 39762 49867 57294 59643 79524 85941 99734 114588 119286 149601 171882 178929 199468 238572 299202 343764 357858 448803 598404 715716 897606 1125721 1346409 1795212 2251442 2343749 2692818 3377163 4039227 4502884 4687498 5385636 6754326 7031247 8078454 9374996 10131489 13508652 14062494 16156908 20262978 21093741 28124988 30394467 40525956 42187482 52908887 60788934 63281223 84374964 91183401 105817774 121577868 126562446 158726661 182366802 189843669 211635548 253124892 317453322 364733604 379687338 476179983 634906644 759374676 952359966 1428539949 1904719932 2486717689 2857079898 4285619847 4973435378 5714159796 7460153067 8571239694 9946870756 14920306134 17142479388 22380459201 29840612268 44760918402 67141377603 89521836804 134282755206 201424132809 268565510412 402848265618 805696531236