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13525135434 = 2331779283659
BaseRepresentation
bin11001001100010100…
…10011000001001010
31021220120221001212000
430212022103001022
5210144413313214
610114030331430
7656110516506
oct144612230112
937816831760
1013525135434
11581064a488
122755659b76
131377117825
149243c5306
155425d2809
hex32629304a

13525135434 has 128 divisors (see below), whose sum is σ = 32389632000. Its totient is φ = 4168329984.

The previous prime is 13525135423. The next prime is 13525135439. The reversal of 13525135434 is 43453152531.

13525135434 is a `hidden beast` number, since 13 + 52 + 51 + 3 + 543 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13525135439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20523397 + ... + 20524055.

It is an arithmetic number, because the mean of its divisors is an integer number (253044000).

Almost surely, 213525135434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13525135434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194816000).

13525135434 is an abundant number, since it is smaller than the sum of its proper divisors (18864496566).

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

13525135434 is a wasteful number, since it uses less digits than its factorization.

13525135434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 13525135434 its reverse (43453152531), we get a palindrome (56978287965).

The spelling of 13525135434 in words is "thirteen billion, five hundred twenty-five million, one hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 283 306 459 474 566 659 711 849 918 1318 1343 1422 1698 1977 2133 2547 2686 3954 4029 4266 4811 5094 5931 7641 8058 9622 11203 11862 12087 14433 15282 17793 22357 22406 24174 28866 33609 35586 36261 43299 44714 52061 67071 67218 72522 86598 100827 104122 129897 134142 156183 186497 201213 201654 259794 302481 312366 372994 380069 402426 468549 559491 603639 604962 760138 885037 937098 1118982 1140207 1207278 1405647 1678473 1770074 2280414 2655111 2811294 3170449 3356946 3420621 5035419 5310222 6340898 6841242 7965333 9511347 10070838 10261863 14733263 15930666 19022694 20523726 23895999 28534041 29466526 44199789 47791998 57068082 85602123 88399578 132599367 171204246 250465471 265198734 397798101 500930942 751396413 795596202 1502792826 2254189239 4508378478 6762567717 13525135434