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13542682041 = 3271931261193
BaseRepresentation
bin11001001110011010…
…01110110110111001
31021221210221112021100
430213031032312321
5210213411311131
610115454402013
7656412620010
oct144715166671
937853845240
1013542682041
11581a544509
12275b500309
13137a94c335
14926871a77
15543deb7e6
hex32734edb9

13542682041 has 144 divisors (see below), whose sum is σ = 24843112320. Its totient is φ = 6942412800.

The previous prime is 13542682039. The next prime is 13542682051. The reversal of 13542682041 is 14028624531.

It is a happy number.

13542682041 is a `hidden beast` number, since 1 + 354 + 268 + 2 + 0 + 41 = 666.

It is not a de Polignac number, because 13542682041 - 21 = 13542682039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13542681987 and 13542682005.

It is not an unprimeable number, because it can be changed into a prime (13542682031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70169241 + ... + 70169433.

Almost surely, 213542682041 is an apocalyptic number.

It is an amenable number.

13542682041 is a deficient number, since it is larger than the sum of its proper divisors (11300430279).

13542682041 is a wasteful number, since it uses less digits than its factorization.

13542682041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13542682041 in words is "thirteen billion, five hundred forty-two million, six hundred eighty-two thousand, forty-one".

Divisors: 1 3 7 9 19 21 31 57 61 63 93 133 171 183 193 217 279 399 427 549 579 589 651 961 1159 1197 1281 1351 1737 1767 1891 1953 2883 3477 3667 3843 4053 4123 5301 5673 5983 6727 8113 8649 10431 11001 11773 12159 12369 13237 17019 17949 18259 20181 24339 25669 33003 35319 35929 37107 39711 41881 53847 54777 58621 60543 73017 77007 82411 105957 107787 113677 119133 125643 127813 164331 175863 185473 223687 231021 247233 251503 323361 341031 364963 376929 383439 410347 527589 556419 671061 741699 754509 795739 1023093 1094889 1113799 1150317 1231041 1298311 1565809 1669257 2013183 2263527 2387217 2554741 3284667 3341397 3523987 3693123 3894933 4697427 6934297 7161651 7664223 7796593 10024191 10571961 11313853 11684799 14092281 20802891 22992669 23389779 24667909 31715883 33941559 48540079 62408673 70169337 74003727 79196971 101824677 145620237 214963207 222011181 237590913 436860711 644889621 712772739 1504742449 1934668863 4514227347 13542682041