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13525064631 = 32132961101647
BaseRepresentation
bin11001001100010100…
…00001101110110111
31021220120210110201200
430212022001232313
5210144404032011
610114025023543
7656110103211
oct144612015667
937816713650
1013525064631
115810601271
122755624bb3
1313770c1530
149243a75b1
155425bb856
hex326281bb7

13525064631 has 96 divisors (see below), whose sum is σ = 22374817920. Its totient is φ = 7814016000.

The previous prime is 13525064627. The next prime is 13525064639. The reversal of 13525064631 is 13646052531.

13525064631 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 5 + 0 + 646 + 3 + 1 = 666.

13525064631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13525064631 - 22 = 13525064627 is a prime.

It is a super-2 number, since 2×135250646312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525064639) 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 95 ways as a sum of consecutive naturals, for example, 20903950 + ... + 20904596.

It is an arithmetic number, because the mean of its divisors is an integer number (233071020).

Almost surely, 213525064631 is an apocalyptic number.

13525064631 is a deficient number, since it is larger than the sum of its proper divisors (8849753289).

13525064631 is a wasteful number, since it uses less digits than its factorization.

13525064631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13525064631 in words is "thirteen billion, five hundred twenty-five million, sixty-four thousand, six hundred thirty-one".

Divisors: 1 3 9 13 29 39 61 87 101 117 183 261 303 377 549 647 793 909 1131 1313 1769 1941 2379 2929 3393 3939 5307 5823 6161 7137 8411 8787 11817 15921 18483 18763 22997 25233 26361 38077 39467 55449 56289 65347 68991 75699 80093 114231 118401 168867 178669 196041 206973 240279 243919 342693 355203 513071 536007 588123 720837 731757 849511 1144543 1539213 1608021 1895063 2195271 2322697 2548533 3433629 3986167 4617639 5685189 6968091 7645599 10300887 11958501 14879059 17055567 20904273 24635819 35875503 44637177 51820171 73907457 115598843 133911531 155460513 221722371 346796529 466381539 1040389587 1502784959 4508354877 13525064631