Search a number
-
+
505706552109 = 321141130395617
BaseRepresentation
bin1110101101111100111…
…01011001101100101101
31210100022120002121002100
413112332131121230231
531241141334131414
61024152434245313
751351610524453
oct7267635315455
91710276077070
10505706552109
1118551818a570
1282014126839
13388c34a1125
141a6950869d3
15d24bb03609
hex75be759b2d

505706552109 has 48 divisors (see below), whose sum is σ = 816941833344. Its totient is φ = 298780876800.

The previous prime is 505706552107. The next prime is 505706552111. The reversal of 505706552109 is 901255607505.

505706552109 is a `hidden beast` number, since 5 + 0 + 570 + 6 + 55 + 21 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (505706552107) and next prime (505706552111).

It is not a de Polignac number, because 505706552109 - 21 = 505706552107 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505706552107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5241069 + ... + 5336685.

It is an arithmetic number, because the mean of its divisors is an integer number (17019621528).

Almost surely, 2505706552109 is an apocalyptic number.

It is an amenable number.

505706552109 is a deficient number, since it is larger than the sum of its proper divisors (311235281235).

505706552109 is a wasteful number, since it uses less digits than its factorization.

505706552109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96978 (or 96975 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 505706552109 in words is "five hundred five billion, seven hundred six million, five hundred fifty-two thousand, one hundred nine".

Divisors: 1 3 9 11 33 41 99 123 369 451 1303 1353 3909 4059 11727 14333 42999 53423 95617 128997 160269 286851 480807 587653 860553 1051787 1762959 3155361 3920297 5288877 9466083 11760891 35282673 43123267 124588951 129369801 373766853 388109403 1121300559 1370478461 4111435383 5108146991 12334306149 15324440973 45973322919 56189616901 168568850703 505706552109