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286466287849225 = 521123077332
BaseRepresentation
bin100000100100010100010000…
…1010100111100111100001001
31101120021220120010212122102021
41001020220201110330330021
5300021430424142133400
62453132443524004441
7114224335443325111
oct10110504124747411
91346256503778367
10286466287849225
118330574136a500
1228167104230721
13c3ac86914a433
1450a508415c041
15231b9a3b0371a
hex1048a2153cf09

286466287849225 has 27 divisors (see below), whose sum is σ = 390447716655829. Its totient is φ = 208338441423200.

The previous prime is 286466287849211. The next prime is 286466287849237. The reversal of 286466287849225 is 522948782664682.

The square root of 286466287849225 is 16925315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 79671994290889 + 206794293558336 = 8925917^2 + 14380344^2 .

It is not a de Polignac number, because 286466287849225 - 211 = 286466287847177 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 930738459 + ... + 931046191.

Almost surely, 2286466287849225 is an apocalyptic number.

286466287849225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

286466287849225 is the 16925315-th square number.

286466287849225 is the 8462658-th centered octagonal number.

It is an amenable number.

286466287849225 is a deficient number, since it is larger than the sum of its proper divisors (103981428806604).

286466287849225 is an frugal number, since it uses more digits than its factorization.

286466287849225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615498 (or 307749 counting only the distinct ones).

The product of its digits is 8918138880, while the sum is 79.

The spelling of 286466287849225 in words is "two hundred eighty-six trillion, four hundred sixty-six billion, two hundred eighty-seven million, eight hundred forty-nine thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 307733 1538665 3385063 7693325 16925315 37235693 84626575 186178465 930892325 94699599289 473497996445 1041695592179 2367489982225 5208477960895 11458651513969 26042389804475 57293257569845 286466287849225