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13530544398 = 2347412331249
BaseRepresentation
bin11001001100111101…
…11011100100001110
31021220222002212120000
430212132323210032
5210202304410043
610114342305130
7656204505210
oct144636734416
937828085500
1013530544398
1158137042a8
1227574281a6
13137828c7b7
14924dd25b0
15542d002d3
hex3267bb90e

13530544398 has 160 divisors (see below), whose sum is σ = 35675640000. Its totient is φ = 3752386560.

The previous prime is 13530544373. The next prime is 13530544429. The reversal of 13530544398 is 89344503531.

13530544398 is a `hidden beast` number, since 13 + 5 + 3 + 0 + 544 + 3 + 98 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10832478 + ... + 10833726.

It is an arithmetic number, because the mean of its divisors is an integer number (222972750).

Almost surely, 213530544398 is an apocalyptic number.

13530544398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13530544398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837820000).

13530544398 is an abundant number, since it is smaller than the sum of its proper divisors (22145095602).

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

13530544398 is a wasteful number, since it uses less digits than its factorization.

13530544398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13530544398 in words is "thirteen billion, five hundred thirty million, five hundred forty-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 81 82 123 126 162 189 233 246 287 369 378 466 567 574 699 738 861 1107 1134 1249 1398 1631 1722 2097 2214 2498 2583 3262 3321 3747 4194 4893 5166 6291 6642 7494 7749 8743 9553 9786 11241 12582 14679 15498 17486 18873 19106 22482 23247 26229 28659 29358 33723 37746 44037 46494 51209 52458 57318 66871 67446 78687 85977 88074 101169 102418 132111 133742 153627 157374 171954 200613 202338 236061 257931 264222 291017 307254 358463 401226 460881 472122 515862 582034 601839 708183 716926 773793 873051 921762 1075389 1203678 1382643 1416366 1547586 1746102 1805517 2037119 2150778 2619153 2765286 3226167 3611034 4074238 4147929 5238306 5416551 6111357 6452334 7857459 8295858 9678501 10833102 11931697 12222714 15714918 18334071 19357002 23572377 23863394 29035503 35795091 36668142 47144754 55002213 58071006 71590182 83521879 107385273 110004426 165006639 167043758 214770546 250565637 322155819 330013278 501131274 644311638 751696911 966467457 1503393822 1932934914 2255090733 4510181466 6765272199 13530544398