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13746387221 = 717893493719
BaseRepresentation
bin11001100110101100…
…10011100100010101
31022111000020211020122
430303112103210111
5211123033342341
610152012441325
7664435235450
oct146326234425
938430224218
1013746387221
1159145281a6
1227b7779245
1313b0c02c48
1494593a497
15556c3894b
hex333593915

13746387221 has 32 divisors (see below), whose sum is σ = 16873920000. Its totient is φ = 10930563072.

The previous prime is 13746387203. The next prime is 13746387251. The reversal of 13746387221 is 12278364731.

13746387221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13746387221 - 230 = 12672645397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746387251) 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 31 ways as a sum of consecutive naturals, for example, 3694400 + ... + 3698118.

It is an arithmetic number, because the mean of its divisors is an integer number (527310000).

Almost surely, 213746387221 is an apocalyptic number.

It is an amenable number.

13746387221 is a deficient number, since it is larger than the sum of its proper divisors (3127532779).

13746387221 is a wasteful number, since it uses less digits than its factorization.

13746387221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181.

The product of its digits is 338688, while the sum is 44.

The spelling of 13746387221 in words is "thirteen billion, seven hundred forty-six million, three hundred eighty-seven thousand, two hundred twenty-one".

Divisors: 1 7 17 89 119 349 623 1513 2443 3719 5933 10591 26033 31061 41531 63223 217427 330991 442561 528037 1297931 2316937 3696259 5626847 9085517 22064827 39387929 115515859 154453789 808611013 1963769603 13746387221