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13525440292 = 22713734311181
BaseRepresentation
bin11001001100010110…
…11101011100100100
31021220121111120001001
430212023131130210
5210200003042132
610114041043044
7656113226350
oct144613353444
937817446031
1013525440292
115810838531
122755786484
1313771c3510
14924464460
15542642ce7
hex3262dd724

13525440292 has 96 divisors (see below), whose sum is σ = 29624361984. Its totient is φ = 5260723200.

The previous prime is 13525440277. The next prime is 13525440293. The reversal of 13525440292 is 29204452531.

13525440292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13525440293) 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, 11451942 + ... + 11453122.

It is an arithmetic number, because the mean of its divisors is an integer number (308587104).

Almost surely, 213525440292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13525440292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812180992).

13525440292 is an abundant number, since it is smaller than the sum of its proper divisors (16098921692).

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

13525440292 is a wasteful number, since it uses less digits than its factorization.

13525440292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 13525440292 in words is "thirteen billion, five hundred twenty-five million, four hundred forty thousand, two hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 431 511 862 949 1022 1181 1724 1898 2044 2362 3017 3796 4724 5603 6034 6643 8267 11206 12068 13286 15353 16534 22412 26572 30706 31463 33068 39221 61412 62926 78442 86213 107471 125852 156884 172426 214942 220241 344852 409019 429884 440482 509011 603491 818038 880964 1018022 1120769 1206982 1636076 2036044 2241538 2413964 2863133 3563077 4483076 5726266 6617143 7126154 7845383 11452532 13234286 14252308 15690766 26468572 31381532 37157803 46320001 74315606 92640002 148631212 185280004 260104621 483051439 520209242 966102878 1040418484 1932205756 3381360073 6762720146 13525440292