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12845275569 = 34742572
BaseRepresentation
bin10111111011010001…
…10101100110110001
31020011012122121110000
423331220311212301
5202301342304234
65522342500213
7633214020000
oct137550654661
936135577400
1012845275569
1154a1906725
1225a5a34669
13129930a599
1489bdb0c37
15502a8c899
hex2fda359b1

12845275569 has 75 divisors (see below), whose sum is σ = 22472834747. Its totient is φ = 7311596544.

The previous prime is 12845275529. The next prime is 12845275579. The reversal of 12845275569 is 96557254821.

The square root of 12845275569 is 113337.

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

12845275569 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 5 + 2 + 75 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12646127025 + 199148544 = 112455^2 + 14112^2 .

It is not a de Polignac number, because 12845275569 - 217 = 12845144497 is a prime.

It is a super-2 number, since 2×128452755692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12845275519) 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, 49981489 + ... + 49981745.

Almost surely, 212845275569 is an apocalyptic number.

12845275569 is the 113337-th square number.

12845275569 is the 56669-th centered octagonal number.

It is an amenable number.

12845275569 is a deficient number, since it is larger than the sum of its proper divisors (9627559178).

12845275569 is an frugal number, since it uses more digits than its factorization.

12845275569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 267 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 12845275569 in words is "twelve billion, eight hundred forty-five million, two hundred seventy-five thousand, five hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 257 343 441 567 771 1029 1323 1799 2313 2401 3087 3969 5397 6939 7203 9261 12593 16191 20817 21609 27783 37779 48573 64827 66049 88151 113337 145719 194481 198147 264453 340011 462343 594441 617057 793359 1020033 1387029 1783323 1851171 2380077 3236401 4161087 5349969 5553513 7140231 9709203 12483261 16660539 22654807 29127609 37449783 49981617 67964421 87382827 158583649 203893263 262148481 475750947 611679789 1427252841 1835039367 4281758523 12845275569