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13644328355329 = 72232229432
BaseRepresentation
bin1100011010001101000101…
…0110000100011000000001
31210022101101200222100112211
43012203101112010120001
53242022041024332304
645004041245222121
72605525114302100
oct306432126043001
953271350870484
1013644328355329
1143905887167a1
121644441b61941
1377c868334b79
14352563662037
15189dc0ec2204
hexc68d1584601

13644328355329 has 27 divisors (see below), whose sum is σ = 16592786567553. Its totient is φ = 11186166719112.

The previous prime is 13644328355309. The next prime is 13644328355381. The reversal of 13644328355329 is 92355382344631.

The square root of 13644328355329 is 3693823.

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

It is not a de Polignac number, because 13644328355329 - 29 = 13644328354817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13644328355309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 594694032 + ... + 594716974.

Almost surely, 213644328355329 is an apocalyptic number.

13644328355329 is the 3693823-rd square number.

13644328355329 is the 1846912-nd centered octagonal number.

It is an amenable number.

13644328355329 is a deficient number, since it is larger than the sum of its proper divisors (2948458212224).

13644328355329 is an frugal number, since it uses more digits than its factorization.

13644328355329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45946 (or 22973 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 58.

The spelling of 13644328355329 in words is "thirteen trillion, six hundred forty-four billion, three hundred twenty-eight million, three hundred fifty-five thousand, three hundred twenty-nine".

Divisors: 1 7 23 49 161 529 1127 3703 22943 25921 160601 527689 1124207 3693823 12136847 25856761 84957929 526381249 594705503 3684668743 12106768727 25792681201 84747381089 278455680721 593231667623 1949189765047 13644328355329