Search a number
-
+
81111159657 = 321119231874839
BaseRepresentation
bin100101110001010011…
…0100001001101101001
321202100202221211111100
41023202212201031221
52312103424102112
6101132325352013
75601003324063
oct1134246411551
9252322854440
1081111159657
1131443153850
1213877b68609
1378583c2138
143cd6580733
15219ad0b2dc
hex12e29a1369

81111159657 has 48 divisors (see below), whose sum is σ = 140388019200. Its totient is φ = 44546150880.

The previous prime is 81111159637. The next prime is 81111159659. The reversal of 81111159657 is 75695111118.

81111159657 is a `hidden beast` number, since 8 + 1 + 1 + 1 + 1 + 1 + 596 + 57 = 666.

It is not a de Polignac number, because 81111159657 - 26 = 81111159593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81111159659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894157 + ... + 980682.

It is an arithmetic number, because the mean of its divisors is an integer number (2924750400).

Almost surely, 281111159657 is an apocalyptic number.

It is an amenable number.

81111159657 is a deficient number, since it is larger than the sum of its proper divisors (59276859543).

81111159657 is a wasteful number, since it uses less digits than its factorization.

81111159657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874898 (or 1874895 counting only the distinct ones).

The product of its digits is 75600, while the sum is 45.

The spelling of 81111159657 in words is "eighty-one billion, one hundred eleven million, one hundred fifty-nine thousand, six hundred fifty-seven".

Divisors: 1 3 9 11 19 23 33 57 69 99 171 207 209 253 437 627 759 1311 1881 2277 3933 4807 14421 43263 1874839 5624517 16873551 20623229 35621941 43121297 61869687 106865823 129363891 185609061 320597469 388091673 391841351 474334267 819304643 1175524053 1423002801 2457913929 3526572159 4269008403 7373741787 9012351073 27037053219 81111159657