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350709705290025 = 3452281214812
BaseRepresentation
bin100111110111101111111011…
…1011001110011000100101001
31200222202112001100211001210000
41033233133313121303010221
5331432011434023240100
63241521451525013213
7133604640302512014
oct11757376731630451
91628675040731700
10350709705290025
11a1824172720254
1233401a82854209
131208ca24bb7193
1462866242b037b
152a82b6e61c900
hex13ef7f7673129

350709705290025 has 135 divisors (see below), whose sum is σ = 652396215377599. Its totient is φ = 186253687872000.

The previous prime is 350709705290011. The next prime is 350709705290099. The reversal of 350709705290025 is 520092507907053.

The square root of 350709705290025 is 18727245.

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

350709705290025 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 0 + 97 + 0 + 529 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 187419029671449 + 163290675618576 = 13690107^2 + 12778524^2 .

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

It is not a de Polignac number, because 350709705290025 - 231 = 350707557806377 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 (31) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 236806012285 + ... + 236806013765.

Almost surely, 2350709705290025 is an apocalyptic number.

350709705290025 is the 18727245-th square number and also the 11844150-th heptagonal number.

350709705290025 is the 9363623-rd centered octagonal number.

It is an amenable number.

350709705290025 is a deficient number, since it is larger than the sum of its proper divisors (301686510087574).

350709705290025 is an frugal number, since it uses more digits than its factorization.

350709705290025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 350709705290025 in words is "three hundred fifty trillion, seven hundred nine billion, seven hundred five million, two hundred ninety thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 281 405 675 843 1405 1481 2025 2529 4215 4443 7025 7405 7587 12645 13329 21075 22215 22761 37025 37935 39987 63225 66645 78961 111075 113805 119961 189675 199935 236883 333225 394805 416161 569025 599805 710649 999675 1184415 1248483 1974025 2080805 2131947 2193361 2999025 3553245 3745449 5922075 6242415 6395841 6580083 10404025 10659735 10966805 11236347 17766225 18727245 19740249 31212075 31979205 32900415 33709041 53298675 54834025 56181735 59220747 93636225 98701245 116941241 159896025 164502075 168545205 177662241 280908675 296103735 350823723 493506225 584706205 616334441 842726025 888311205 1052471169 1480518675 1754118615 1849003323 2923531025 3081672205 3157413507 4441556025 5262355845 5547009969 8770593075 9245016615 9472240521 15408361025 15787067535 16641029907 26311779225 27735049845 46225083075 47361202605 49923089721 78935337675 83205149535 138675249225 173189977921 236806013025 249615448605 416025747675 519569933763 865949889605 1248077243025 1558709801289 2597849668815 4329749448025 4676129403867 7793549006445 12989248344075 14028388211601 23380647019335 38967745032225 70141941058005 116903235096675 350709705290025