Search a number
-
+
741705148845 = 325149110619709
BaseRepresentation
bin10101100101100010001…
…00100110100110101101
32121220110201002110201100
422302301010212212231
544123003004230340
61324422403233313
7104405100512523
oct12626104464655
92556421073640
10741705148845
11266612247261
12bb8b7678839
1354c3387c4cb
1427c82138313
151446060d830
hexacb11269ad

741705148845 has 24 divisors (see below), whose sum is σ = 1294250607000. Its totient is φ = 392921202816.

The previous prime is 741705148799. The next prime is 741705148853. The reversal of 741705148845 is 548841507147.

It is a happy number.

741705148845 is a `hidden beast` number, since 7 + 4 + 1 + 7 + 0 + 514 + 88 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32037062121 + 709668086724 = 178989^2 + 842418^2 .

It is not a de Polignac number, because 741705148845 - 226 = 741638039981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 741705148791 and 741705148800.

It is a congruent number.

It is an unprimeable number.

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, 55303150 + ... + 55316559.

It is an arithmetic number, because the mean of its divisors is an integer number (53927108625).

Almost surely, 2741705148845 is an apocalyptic number.

It is an amenable number.

741705148845 is a deficient number, since it is larger than the sum of its proper divisors (552545458155).

741705148845 is a wasteful number, since it uses less digits than its factorization.

741705148845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110619869 (or 110619866 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 741705148845 in words is "seven hundred forty-one billion, seven hundred five million, one hundred forty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 110619709 331859127 553098545 995577381 1659295635 4977886905 16482336641 49447009923 82411683205 148341029769 247235049615 741705148845