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13552106035325 = 52112131317726153
BaseRepresentation
bin1100010100110101100001…
…1101110101100001111101
31202222120100120102002111012
43011031120131311201331
53234014203121112300
644453430201005005
72566051551435344
oct305153035654175
952876316362435
1013552106035325
114355463610800
12162a5a4a83765
13773c5bc97b50
1434bcd5556b5b
151877c49ba435
hexc535877587d

13552106035325 has 72 divisors (see below), whose sum is σ = 19894315135464. Its totient is φ = 9096879052800.

The previous prime is 13552106035301. The next prime is 13552106035333. The reversal of 13552106035325 is 52353060125531.

It can be written as a sum of positive squares in 12 ways, for example, as 7899095744089 + 5653010291236 = 2810533^2 + 2377606^2 .

It is not a de Polignac number, because 13552106035325 - 234 = 13534926166141 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 518172449 + ... + 518198601.

It is an arithmetic number, because the mean of its divisors is an integer number (276309932437).

Almost surely, 213552106035325 is an apocalyptic number.

It is an amenable number.

13552106035325 is a deficient number, since it is larger than the sum of its proper divisors (6342209100139).

13552106035325 is a wasteful number, since it uses less digits than its factorization.

13552106035325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39375 (or 39359 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 41.

The spelling of 13552106035325 in words is "thirteen trillion, five hundred fifty-two billion, one hundred six million, thirty-five thousand, three hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 121 143 275 325 605 715 1573 3025 3575 7865 13177 26153 39325 65885 130765 144947 171301 287683 329425 339989 653825 724735 856505 1438415 1594417 1699945 1884311 3164513 3623675 3739879 4282525 7192075 7972085 8499725 9421555 15822565 18699395 20727421 39860425 41138669 47107775 79112825 93496975 103637105 205693345 344618081 518185525 1028466725 1723090405 3790798891 4480035053 8615452025 18953994455 22400175265 41698787801 49280385583 94769972275 112000876325 208493939005 246401927915 542084241413 1042469695025 1232009639575 2710421207065 13552106035325