Search a number
-
+
905134489137 = 321937535095303
BaseRepresentation
bin11010010101111100011…
…10000011111000110001
310012112022101020011012200
431022332032003320301
5104312203412123022
61531451341213413
7122252035133424
oct15127616037061
93175271204180
10905134489137
1131995790554a
12127507861269
136747a445868
1431b472959bb
151882819bbac
hexd2be383e31

905134489137 has 96 divisors (see below), whose sum is σ = 1443192940800. Its totient is φ = 544544073216.

The previous prime is 905134489123. The next prime is 905134489141. The reversal of 905134489137 is 731984431509.

905134489137 is a `hidden beast` number, since 9 + 0 + 513 + 4 + 4 + 8 + 91 + 37 = 666.

It is not a de Polignac number, because 905134489137 - 210 = 905134488113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (905134489837) 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, 170680828 + ... + 170686130.

It is an arithmetic number, because the mean of its divisors is an integer number (15033259800).

Almost surely, 2905134489137 is an apocalyptic number.

It is an amenable number.

905134489137 is a deficient number, since it is larger than the sum of its proper divisors (538058451663).

905134489137 is a wasteful number, since it uses less digits than its factorization.

905134489137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 905134489137 in words is "nine hundred five billion, one hundred thirty-four million, four hundred eighty-nine thousand, one hundred thirty-seven".

Divisors: 1 3 9 19 37 53 57 111 159 171 333 477 509 703 1007 1527 1961 2109 3021 4581 5303 5883 6327 9063 9671 15909 17649 18833 26977 29013 37259 47727 56499 80931 87039 100757 111777 169497 196211 242793 281059 302271 335331 357827 512563 588633 843177 906813 998149 1073481 1537689 1765899 2529531 2699227 2994447 3220443 3728009 4613067 5340121 8097681 8983341 10399183 11184027 16020363 18964831 24293043 31197549 33552081 48061089 51285313 56894493 93592647 99871399 143059031 153855939 170683479 197584477 299614197 429177093 461567817 592753431 898842591 1287531279 1778260293 1897556581 2718121589 5293184147 5692669743 8154364767 15879552441 17078009229 24463094301 47638657323 100570498793 301711496379 905134489137