Search a number
-
+
260027061225 = 352711031273733
BaseRepresentation
bin1111001000101011010…
…0100001001111101001
3220212011201210100021020
43302022310201033221
513230013411424400
6315242122203053
724533466360261
oct3621264411751
9825151710236
10260027061225
11a0305551808
124248a653489
131b69c562809
14c82a3ba7a1
156b6d2702a0
hex3c8ad213e9

260027061225 has 96 divisors (see below), whose sum is σ = 443784167424. Its totient is φ = 134298259200.

The previous prime is 260027061209. The next prime is 260027061247. The reversal of 260027061225 is 522160720062.

260027061225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 260027061225 - 24 = 260027061209 is a prime.

It is a super-2 number, since 2×2600270612252 (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 69654459 + ... + 69658191.

It is an arithmetic number, because the mean of its divisors is an integer number (4622751744).

Almost surely, 2260027061225 is an apocalyptic number.

260027061225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

260027061225 is a deficient number, since it is larger than the sum of its proper divisors (183757106199).

260027061225 is a wasteful number, since it uses less digits than its factorization.

260027061225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 260027061225 its reverse (522160720062), we get a palindrome (782187781287).

The spelling of 260027061225 in words is "two hundred sixty billion, twenty-seven million, sixty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 71 75 103 127 213 309 355 381 515 635 1065 1545 1775 1905 2575 3175 3733 5325 7313 7725 9017 9525 11199 13081 18665 21939 27051 36565 39243 45085 55995 65405 93325 109695 135255 182825 196215 225425 265043 279975 327025 384499 474091 548475 676275 795129 928751 981075 1153497 1325215 1422273 1922495 2370455 2786253 3975645 4643755 5767485 6626075 7111365 9612475 11852275 13931265 19878225 23218775 27299429 28837425 33660461 35556825 48831373 69656325 81898287 100981383 136497145 146494119 168302305 244156865 409491435 504906915 682485725 732470595 841511525 1220784325 2047457175 2524534575 3467027483 3662352975 10401082449 17335137415 52005412245 86675687075 260027061225