Search a number
-
+
605348838081 = 321349371047989
BaseRepresentation
bin10001100111100011001…
…10100011101011000001
32010212111210122011221100
420303301212203223001
534404223300304311
61142032102245013
761510052140101
oct10636146435301
92125453564840
10605348838081
112137aa701839
12993a2126769
1345112b56460
14214287cd201
1510b2e72da56
hex8cf19a3ac1

605348838081 has 24 divisors (see below), whose sum is σ = 941845380840. Its totient is φ = 372446551296.

The previous prime is 605348838079. The next prime is 605348838091. The reversal of 605348838081 is 180838843506.

605348838081 is a `hidden beast` number, since 6 + 0 + 5 + 3 + 488 + 3 + 80 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88985873025 + 516362965056 = 298305^2 + 718584^2 .

It is not a de Polignac number, because 605348838081 - 21 = 605348838079 is a prime.

It is a super-2 number, since 2×6053488380812 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (605348838071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53635 + ... + 1101623.

It is an arithmetic number, because the mean of its divisors is an integer number (39243557535).

Almost surely, 2605348838081 is an apocalyptic number.

It is an amenable number.

605348838081 is a deficient number, since it is larger than the sum of its proper divisors (336496542759).

605348838081 is a wasteful number, since it uses less digits than its factorization.

605348838081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052945 (or 1052942 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 605348838081 in words is "six hundred five billion, three hundred forty-eight million, eight hundred thirty-eight thousand, eighty-one".

Divisors: 1 3 9 13 39 117 4937 14811 44433 64181 192543 577629 1047989 3143967 9431901 13623857 40871571 122614713 5173921693 15521765079 46565295237 67260982009 201782946027 605348838081