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13452056289 = 34742632
BaseRepresentation
bin11001000011100111…
…00001011011100001
31021201111102021010000
430201303201123201
5210022211300124
610102500130213
7654232410000
oct144163413341
937644367100
1013452056289
115783375aa1
122735096969
131364c3b629
14918800c37
1553ae996c9
hex321ce16e1

13452056289 has 75 divisors (see below), whose sum is σ = 23532301793. Its totient is φ = 7657661592.

The previous prime is 13452056287. The next prime is 13452056329. The reversal of 13452056289 is 98265025431.

The square root of 13452056289 is 115983.

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

13452056289 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 0 + 562 + 89 = 666.

It is not a de Polignac number, because 13452056289 - 21 = 13452056287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13452056287) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 51148372 + ... + 51148634.

Almost surely, 213452056289 is an apocalyptic number.

13452056289 is the 115983-rd square number.

13452056289 is the 57992-nd centered octagonal number.

It is an amenable number.

13452056289 is a deficient number, since it is larger than the sum of its proper divisors (10080245504).

13452056289 is an frugal number, since it uses more digits than its factorization.

13452056289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13452056289 in words is "thirteen billion, four hundred fifty-two million, fifty-six thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 263 343 441 567 789 1029 1323 1841 2367 2401 3087 3969 5523 7101 7203 9261 12887 16569 21303 21609 27783 38661 49707 64827 69169 90209 115983 149121 194481 207507 270627 347949 484183 622521 631463 811881 1043847 1452549 1867563 1894389 2435643 3389281 4357647 5602689 5683167 7306929 10167843 13072941 17049501 23724967 30503529 39218823 51148503 71174901 91510587 166074769 213524703 274531761 498224307 640574109 1494672921 1921722327 4484018763 13452056289