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25793966025 = 3452432832
BaseRepresentation
bin11000000001011100…
…001010111111001001
32110120121220020110000
4120001130022333021
5410311223403100
615503302113213
71602125044062
oct300134127711
973517806400
1025793966025
11aa370264a3
124bba41b809
132580b85ab9
1413699c1569
15a0e756900
hex60170afc9

25793966025 has 135 divisors (see below), whose sum is σ = 49512783639. Its totient is φ = 13274966880.

The previous prime is 25793965999. The next prime is 25793966063. The reversal of 25793966025 is 52066939752.

The square root of 25793966025 is 160605.

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

25793966025 is a `hidden beast` number, since 2 + 579 + 3 + 9 + 6 + 60 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9285827769 + 16508138256 = 96363^2 + 128484^2 .

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

It is not a de Polignac number, because 25793966025 - 25 = 25793965993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 310770634 + ... + 310770716.

Almost surely, 225793966025 is an apocalyptic number.

25793966025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25793966025 is the 160605-th square number.

25793966025 is the 80303-rd centered octagonal number.

It is an amenable number.

25793966025 is a deficient number, since it is larger than the sum of its proper divisors (23718817614).

25793966025 is an frugal number, since it uses more digits than its factorization.

25793966025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 25793966025 in words is "twenty-five billion, seven hundred ninety-three million, nine hundred sixty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 81 83 129 135 215 225 249 387 405 415 645 675 747 1075 1161 1245 1849 1935 2025 2075 2241 3225 3483 3569 3735 5547 5805 6225 6723 6889 9245 9675 10707 11205 16641 17415 17845 18675 20667 27735 29025 32121 33615 34445 46225 49923 53535 56025 62001 83205 87075 89225 96363 103335 138675 149769 153467 160605 168075 172225 186003 249615 267675 289089 296227 310005 416025 460401 481815 516675 558009 748845 767335 803025 888681 930015 1248075 1381203 1445445 1481135 1550025 2302005 2409075 2666043 2790045 3744225 3836675 4143609 4443405 4650075 6906015 7227225 7405675 7998129 11510025 12430827 12737761 13330215 13950225 20718045 22217025 23994387 34530075 38213283 39990645 62154135 63688805 66651075 103590225 114639849 119971935 191066415 199953225 310770675 318444025 343919547 573199245 599859675 955332075 1031758641 1719597735 2865996225 5158793205 8597988675 25793966025