Search a number
-
+
13516055061531 = 3111759786751907
BaseRepresentation
bin1100010010101111001110…
…1010010010010000011011
31202212010022010010212112120
43010223303222102100123
53232421340043432111
644425105011312323
72563334305266441
oct304536352222033
952763263125476
1013516055061531
1143411437a0590
1216236035ab6a3
137707350ca5a9
1434a275630b91
151868b4a3a406
hexc4af3a9241b

13516055061531 has 64 divisors (see below), whose sum is σ = 21172085544960. Its totient is φ = 7577910581760.

The previous prime is 13516055061473. The next prime is 13516055061557.

13516055061531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13516055061531 - 213 = 13516055053339 is a prime.

It is a super-2 number, since 2×135160550615312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13516055061581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260363880 + ... + 260415786.

It is an arithmetic number, because the mean of its divisors is an integer number (330813836640).

Almost surely, 213516055061531 is an apocalyptic number.

13516055061531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13516055061531 is a deficient number, since it is larger than the sum of its proper divisors (7656030483429).

13516055061531 is a wasteful number, since it uses less digits than its factorization.

13516055061531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59864.

The product of its (nonzero) digits is 202500, while the sum is 42.

The spelling of 13516055061531 in words is "thirteen trillion, five hundred sixteen billion, fifty-five million, sixty-one thousand, five hundred thirty-one".

Divisors: 1 3 11 17 33 51 59 177 187 561 649 1003 1947 3009 7867 11033 23601 33099 51907 86537 133739 155721 259611 401217 464153 570977 882419 1392459 1471129 1712931 2647257 3062513 4413387 5105683 7890601 9187539 9706609 15317049 23671803 29119827 33687643 52062721 86796611 101062929 156188163 260389833 408352369 572689931 1225057107 1718069793 4491876059 6941990273 13475628177 20825970819 24092789771 72278369313 76361893003 229085679009 265020687481 409577426107 795062062443 1228732278321 4505351687177 13516055061531