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13932728436 = 22311237259339
BaseRepresentation
bin11001111100111010…
…01001000001110100
31022221222212221100010
430332131021001310
5212013234302221
610222310420220
71002160144344
oct147635110164
938858787303
1013932728436
1159aa731100
12284a061670
1314106b7213
149625a4d24
15568295c76
hex33e749074

13932728436 has 72 divisors (see below), whose sum is σ = 36699722080. Its totient is φ = 4107913920.

The previous prime is 13932728431. The next prime is 13932728449. The reversal of 13932728436 is 63482723931.

13932728436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13932728431) 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 23 ways as a sum of consecutive naturals, for example, 75946 + ... + 183393.

Almost surely, 213932728436 is an apocalyptic number.

It is an amenable number.

13932728436 is an abundant number, since it is smaller than the sum of its proper divisors (22766993644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13932728436 is a wasteful number, since it uses less digits than its factorization.

13932728436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259405 (or 259392 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 13932728436 in words is "thirteen billion, nine hundred thirty-two million, seven hundred twenty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 8954 13431 17908 26862 53724 259339 518678 778017 1037356 1556034 2852729 3112068 5705458 8558187 9595543 11410916 17116374 19191086 28786629 31380019 34232748 38382172 57573258 62760038 94140057 105550973 115146516 125520076 188280114 211101946 316652919 376560228 422203892 633305838 1161060703 1266611676 2322121406 3483182109 4644242812 6966364218 13932728436