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285214743025 = 521726121032
BaseRepresentation
bin1000010011010000001…
…11111001100111110001
31000021012002212011002221
410021220013321213301
514133104433234100
6335005325441041
726414613213022
oct4115007714761
91007162764087
10285214743025
11aaa60317963
1247339a10181
1320b8492c544
14db3965ac49
15764466701a
hex42681f99f1

285214743025 has 81 divisors (see below), whose sum is σ = 385698114243. Its totient is φ = 209178662400.

The previous prime is 285214742999. The next prime is 285214743061. The reversal of 285214743025 is 520347412582.

The square root of 285214743025 is 534055.

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

It can be written as a sum of positive squares in 13 ways, for example, as 254410280881 + 30804462144 = 504391^2 + 175512^2 .

It is not a de Polignac number, because 285214743025 - 29 = 285214742513 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 80 ways as a sum of consecutive naturals, for example, 2769075124 + ... + 2769075226.

Almost surely, 2285214743025 is an apocalyptic number.

285214743025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

285214743025 is the 534055-th square number.

285214743025 is the 267028-th centered octagonal number.

It is an amenable number.

285214743025 is a deficient number, since it is larger than the sum of its proper divisors (100483371218).

285214743025 is an equidigital number, since it uses as much as digits as its factorization.

285214743025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 285214743025 in words is "two hundred eighty-five billion, two hundred fourteen million, seven hundred forty-three thousand, twenty-five".

Divisors: 1 5 17 25 61 85 103 289 305 425 515 1037 1445 1525 1751 2575 3721 5185 6283 7225 8755 10609 17629 18605 25925 29767 31415 43775 53045 63257 88145 93025 106811 148835 157075 180353 265225 316285 383263 440725 534055 647149 744175 901765 1075369 1581425 1815787 1916315 2670275 3066001 3235745 4508825 5376845 6515471 9078935 9581575 11001533 15330005 16178725 26884225 32577355 39476089 45394675 55007665 76650025 110763007 162886775 187026061 197380445 275038325 553815035 671093513 935130305 986902225 2769075175 3355467565 4675651525 11408589721 16777337825 57042948605 285214743025