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13271686814853 = 3222935318242041
BaseRepresentation
bin1100000100100000111000…
…1011011001110010000101
31201222202112200011201121200
43001020032023121302011
53214420403311033403
644120532335533113
72536563525413535
oct301101613316205
951882480151550
1013271686814853
11425754423aa25
1215a418508a199
1375368ca32c1c
1433c4d2b714c5
15180361368ca3
hexc120e2d9c85

13271686814853 has 24 divisors (see below), whose sum is σ = 19308471775320. Its totient is φ = 8784198973440.

The previous prime is 13271686814831. The next prime is 13271686814857. The reversal of 13271686814853 is 35841868617231.

It is a happy number.

13271686814853 is a `hidden beast` number, since 1 + 3 + 2 + 71 + 6 + 8 + 6 + 81 + 485 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4918534821729 + 8353151993124 = 2217777^2 + 2890182^2 .

It is not a de Polignac number, because 13271686814853 - 216 = 13271686749317 is a prime.

It is a super-2 number, since 2×132716868148532 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13271686814857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8393488 + ... + 9848553.

It is an arithmetic number, because the mean of its divisors is an integer number (804519657305).

Almost surely, 213271686814853 is an apocalyptic number.

It is an amenable number.

13271686814853 is a deficient number, since it is larger than the sum of its proper divisors (6036784960467).

13271686814853 is a wasteful number, since it uses less digits than its factorization.

13271686814853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18242629 (or 18242626 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 13271686814853 in words is "thirteen trillion, two hundred seventy-one billion, six hundred eighty-six million, eight hundred fourteen thousand, eight hundred fifty-three".

Divisors: 1 3 9 229 353 687 1059 2061 3177 80837 242511 727533 18242041 54726123 164178369 4177427389 6439440473 12532282167 19318321419 37596846501 57954964257 1474631868317 4423895604951 13271686814853