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899585856225 = 34527230112
BaseRepresentation
bin11010001011100110111…
…11101101001011100001
310011222222200111101210000
431011303133231023201
5104214322434344400
61525133010530213
7121664401420200
oct15056337551341
93158880441700
10899585856225
1131756a844511
12126419596969
1366aa4a34b14
143177c3bd237
1518600ec2600
hexd1737ed2e1

899585856225 has 135 divisors (see below), whose sum is σ = 1939044119331. Its totient is φ = 411102669600.

The previous prime is 899585856187. The next prime is 899585856269. The reversal of 899585856225 is 522658585998.

The square root of 899585856225 is 948465.

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

899585856225 is a `hidden beast` number, since 8 + 9 + 9 + 5 + 8 + 58 + 562 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 323850908241 + 575734947984 = 569079^2 + 758772^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 899585856225 - 231 = 897438372577 is a prime.

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 134 ways as a sum of consecutive naturals, for example, 298764970 + ... + 298767980.

Almost surely, 2899585856225 is an apocalyptic number.

899585856225 is the 948465-th square number.

899585856225 is the 474233-rd centered octagonal number.

It is an amenable number.

899585856225 is an abundant number, since it is smaller than the sum of its proper divisors (1039458263106).

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

899585856225 is an frugal number, since it uses more digits than its factorization.

899585856225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058 (or 3026 counting only the distinct ones).

The product of its digits is 622080000, while the sum is 72.

The spelling of 899585856225 in words is "eight hundred ninety-nine billion, five hundred eighty-five million, eight hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3011 3675 3969 4725 6615 9033 11025 14175 15055 19845 21077 27099 33075 45165 63231 75275 81297 99225 105385 135495 147539 189693 225825 243891 316155 406485 442617 526925 569079 677475 737695 948465 1219455 1327851 1580775 1707237 2032425 2213085 2845395 3688475 3983553 4742325 6097275 6639255 8536185 9066121 11065425 11950659 14226975 19917765 27198363 33196275 42680925 45330605 59753295 63462847 81595089 99588825 135991815 190388541 226653025 244785267 298766475 317314235 407975445 444239929 571165623 679959075 734355801 951942705 1223926335 1332719787 1586571175 1713496869 2039877225 2221199645 2855828115 3671779005 3998159361 4759713525 5140490607 6119631675 6663598935 8567484345 11105998225 11994478083 14279140575 18358895025 19990796805 25702453035 33317994675 35983434249 42837421725 59972390415 99953984025 128512265175 179917171245 299861952075 899585856225