Search a number
-
+
104605540083 = 32113747896827
BaseRepresentation
bin110000101101011111…
…0011101111011110011
3101000000010210000112100
41201122332131323303
53203213004240313
6120015523431443
710362136264032
oct1413276357363
9330003700470
10104605540083
11403aa111580
1218334225583
139b30a195a5
1450c49a0719
152ac3724173
hex185af9def3

104605540083 has 96 divisors (see below), whose sum is σ = 174857978880. Its totient is φ = 59684359680.

The previous prime is 104605540069. The next prime is 104605540111. The reversal of 104605540083 is 380045506401.

It is a happy number.

104605540083 is a `hidden beast` number, since 1 + 0 + 4 + 605 + 5 + 40 + 0 + 8 + 3 = 666.

It is not a de Polignac number, because 104605540083 - 217 = 104605409011 is a prime.

It is a super-2 number, since 2×1046055400832 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104605540043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15318916 + ... + 15325742.

It is an arithmetic number, because the mean of its divisors is an integer number (1821437280).

Almost surely, 2104605540083 is an apocalyptic number.

104605540083 is a deficient number, since it is larger than the sum of its proper divisors (70252438797).

104605540083 is a wasteful number, since it uses less digits than its factorization.

104605540083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 104605540083 in words is "one hundred four billion, six hundred five million, five hundred forty thousand, eighty-three".

Divisors: 1 3 9 11 33 37 47 89 99 111 141 267 333 407 423 517 801 979 1221 1551 1739 2937 3293 3663 4183 4653 5217 6827 8811 9879 12549 15651 19129 20481 29637 36223 37647 46013 57387 61443 75097 108669 138039 154771 172161 225291 252599 320869 326007 414117 464313 607603 675873 757797 962607 1392939 1702481 1822809 2273391 2778589 2887821 3529559 5107443 5468427 6683633 8335767 10588677 11872153 15322329 20050899 22481311 25007301 28557341 31766031 35616459 60152697 67443933 85672023 106849377 130593683 202331799 247294421 257016069 314130751 391781049 741883263 942392253 1056621617 1175343147 2225649789 2827176759 3169864851 9509594553 11622837787 34868513361 104605540083