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52209324262404 = 2232797215112
BaseRepresentation
bin10111101111011111011100…
…01110100000010000000100
320211212011101120112102000100
423313233232032200100010
523320344144002344104
6303012344335444100
713665666503664531
oct1367575616402004
9224764346472010
1052209324262404
11156a99394a7461
125a32625086630
132319419c9ab3a
14cc6d3267bd88
1560813e991139
hex2f7bee3a0404

52209324262404 has 81 divisors (see below), whose sum is σ = 132226874819221. Its totient is φ = 17369769159840.

The previous prime is 52209324262387. The next prime is 52209324262517. The reversal of 52209324262404 is 40426242390225.

It is a happy number.

The square root of 52209324262404 is 7225602.

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

52209324262404 is a `hidden beast` number, since 5 + 2 + 20 + 9 + 324 + 262 + 40 + 4 = 666.

52209324262404 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., 25317300456900 + 26892023805504 = 5031630^2 + 5185752^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52209324262404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34552828009 + ... + 34552829519.

Almost surely, 252209324262404 is an apocalyptic number.

52209324262404 is the 7225602-nd square number.

It is an amenable number.

52209324262404 is an abundant number, since it is smaller than the sum of its proper divisors (80017550556817).

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

52209324262404 is an frugal number, since it uses more digits than its factorization.

52209324262404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 52209324262404 in words is "fifty-two trillion, two hundred nine billion, three hundred twenty-four million, two hundred sixty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 797 1511 1594 2391 3022 3188 4533 4782 6044 7173 9066 9564 13599 14346 18132 27198 28692 54396 635209 1204267 1270418 1905627 2283121 2408534 2540836 3612801 3811254 4566242 4817068 5716881 6849363 7225602 7622508 9132484 10838403 11433762 13698726 14451204 20548089 21676806 22867524 27397452 41096178 43353612 82192356 959800799 1819647437 1919601598 2879402397 3639294874 3839203196 5458942311 5758804794 7278589748 8638207191 10917884622 11517609588 16376826933 17276414382 21835769244 32753653866 34552828764 65507307732 1450259007289 2900518014578 4350777021867 5801036029156 8701554043734 13052331065601 17403108087468 26104662131202 52209324262404