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13732375541284 = 2219211328632
BaseRepresentation
bin1100011111010101000101…
…0111011011011000100100
31210121210122212021211102001
43013311101113123120210
53244442401114310114
645112322150055044
72615063032111201
oct307652127333044
953553585254361
1013732375541284
11441495aa99784
12165951494a484
13787c5a6c137a
14356917068ca8
1518c325bac374
hexc7d515db624

13732375541284 has 81 divisors (see below), whose sum is σ = 25619175167313. Its totient is φ = 6439774045824.

The previous prime is 13732375541279. The next prime is 13732375541351. The reversal of 13732375541284 is 48214557323731.

The square root of 13732375541284 is 3705722.

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

It can be written as a sum of positive squares in only one way, i.e., 241975448100 + 13490400093184 = 491910^2 + 3672928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15912369837 + ... + 15912370699.

Almost surely, 213732375541284 is an apocalyptic number.

13732375541284 is the 3705722-nd square number.

It is an amenable number.

13732375541284 is a deficient number, since it is larger than the sum of its proper divisors (11886799626029).

13732375541284 is an frugal number, since it uses more digits than its factorization.

13732375541284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 55.

The spelling of 13732375541284 in words is "thirteen trillion, seven hundred thirty-two billion, three hundred seventy-five million, five hundred forty-one thousand, two hundred eighty-four".

Divisors: 1 2 4 19 38 76 113 226 361 452 722 863 1444 1726 2147 3452 4294 8588 12769 16397 25538 32794 40793 51076 65588 81586 97519 163172 195038 242611 311543 390076 485222 623086 744769 970444 1246172 1489538 1852861 2979076 3705722 4609609 7411444 9219218 11019647 14150611 18438436 22039294 28301222 35204359 44078588 56602444 70408718 84158897 140817436 168317794 209373293 268861609 336635588 418746586 537723218 837493172 1075446436 1599019043 3198038086 3978092567 6396076172 7956185134 9509955361 15912370268 19019910722 30381361817 38039821444 60762723634 121525447268 180689151859 361378303718 722756607436 3433093885321 6866187770642 13732375541284