Search a number
-
+
18315051381 = 32112127151877
BaseRepresentation
bin10001000011101010…
…011000000101110101
31202021102000000021100
4101003222120011311
5300002123121011
612225215040313
71215602240154
oct210352300565
952242000240
1018315051381
117849407200
123671810099
13195b59b213
14c5a5db59b
15722d8bd56
hex443a98175

18315051381 has 72 divisors (see below), whose sum is σ = 29535414272. Its totient is φ = 10927224000.

The previous prime is 18315051367. The next prime is 18315051401.

18315051381 is a `hidden beast` number, since 1 + 83 + 150 + 51 + 381 = 666.

18315051381 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18315051381 - 27 = 18315051253 is a prime.

It is a super-3 number, since 3×183150513813 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18315051581) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20883315 + ... + 20884191.

Almost surely, 218315051381 is an apocalyptic number.

18315051381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18315051381 is a deficient number, since it is larger than the sum of its proper divisors (11220362891).

18315051381 is a wasteful number, since it uses less digits than its factorization.

18315051381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 18315051381 in words is "eighteen billion, three hundred fifteen million, fifty-one thousand, three hundred eighty-one".

Divisors: 1 3 9 11 33 99 121 127 151 363 381 453 877 1089 1143 1359 1397 1661 2631 4191 4983 7893 9647 12573 14949 15367 18271 19177 28941 46101 54813 57531 86823 106117 111379 132427 138303 164439 172593 210947 318351 334137 397281 632841 955053 1002411 1191843 1225169 1456697 1898523 2320417 3675507 4370091 6961251 11026521 13110273 13476859 16023667 16818229 20883753 40430577 48071001 50454687 121291731 144213003 151364061 185000519 555001557 1665004671 2035005709 6105017127 18315051381