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13700936601 = 3211235472
BaseRepresentation
bin11001100001010001…
…11011001110011001
31022100211201200201100
430300220323032121
5211024414432401
610143310342013
7663344016402
oct146050731631
938324650640
1013700936601
1158a0904500
1227a44ba909
1313a467b4a1
1493d8a89a9
15552c5bb86
hex330a3b399

13700936601 has 27 divisors (see below), whose sum is σ = 21759044853. Its totient is φ = 8301256920.

The previous prime is 13700936563. The next prime is 13700936603. The reversal of 13700936601 is 10663900731.

The square root of 13700936601 is 117051.

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

13700936601 is a `hidden beast` number, since 13 + 7 + 0 + 0 + 9 + 36 + 601 = 666.

13700936601 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 13700936601 - 211 = 13700934553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13700936603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3860910 + ... + 3864456.

Almost surely, 213700936601 is an apocalyptic number.

13700936601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13700936601 is the 117051-st square number.

13700936601 is the 58526-th centered octagonal number.

It is an amenable number.

13700936601 is a deficient number, since it is larger than the sum of its proper divisors (8058108252).

13700936601 is an frugal number, since it uses more digits than its factorization.

13700936601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Multiplying 13700936601 by its sum of digits (36), we get a square (493233717636 = 7023062).

The spelling of 13700936601 in words is "thirteen billion, seven hundred million, nine hundred thirty-six thousand, six hundred one".

Divisors: 1 3 9 11 33 99 121 363 1089 3547 10641 31923 39017 117051 351153 429187 1287561 3862683 12581209 37743627 113230881 138393299 415179897 1245539691 1522326289 4566978867 13700936601