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13543541145 = 33519231731327
BaseRepresentation
bin11001001110100001…
…00000100110011001
31021221212120011202000
430213100200212121
5210214121304040
610115525031213
7656423125461
oct144720404631
937855504660
1013543541145
11581aa80a12
12275b855509
13137ab90394
14926a16ba1
1554401b130
hex327420999

13543541145 has 128 divisors (see below), whose sum is σ = 26619494400. Its totient is φ = 6502788864.

The previous prime is 13543541119. The next prime is 13543541177. The reversal of 13543541145 is 54114534531.

13543541145 is a `hidden beast` number, since 1 + 35 + 43 + 541 + 1 + 45 = 666.

It is not a de Polignac number, because 13543541145 - 28 = 13543540889 is a prime.

It is a super-2 number, since 2×135435411452 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10205472 + ... + 10206798.

It is an arithmetic number, because the mean of its divisors is an integer number (207964800).

Almost surely, 213543541145 is an apocalyptic number.

13543541145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13543541145 is a deficient number, since it is larger than the sum of its proper divisors (13075953255).

13543541145 is a wasteful number, since it uses less digits than its factorization.

13543541145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 13543541145 in words is "thirteen billion, five hundred forty-three million, five hundred forty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 23 27 45 57 69 95 115 135 171 173 207 285 345 437 513 519 621 855 865 1035 1311 1327 1557 2185 2565 2595 3105 3287 3933 3979 3981 4671 6555 6635 7785 9861 11799 11937 11943 16435 19665 19895 19905 23355 25213 29583 30521 35811 35829 49305 58995 59685 59715 75601 75639 88749 91563 107433 126065 147915 152605 179055 179145 226803 226917 229571 274689 378005 378195 443745 457815 537165 579899 680409 680751 688713 824067 1134015 1134585 1147855 1373445 1739697 2041227 2066139 2899495 3402045 3403755 3443565 4120335 4361849 5219091 5280133 6198417 8698485 10206135 10330695 13085547 15657273 15840399 21809245 26095455 26400665 30992085 39256641 47521197 65427735 78286365 79201995 100322527 117769923 142563591 196283205 237605985 300967581 501612635 588849615 712817955 902902743 1504837905 2708708229 4514513715 13543541145