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5211042309 = 3311315359181
BaseRepresentation
bin1001101101001101…
…00011001000000101
3111110011111101012000
410312212203020011
541133011323214
62221030415513
7243064062114
oct46646431005
914404441160
105211042309
112234552240
121015201599
136507b0cb5
14376119c7b
15207742809
hex1369a3205

5211042309 has 128 divisors (see below), whose sum is σ = 9057484800. Its totient is φ = 2931552000.

The previous prime is 5211042289. The next prime is 5211042323. The reversal of 5211042309 is 9032401125.

5211042309 is a `hidden beast` number, since 521 + 104 + 2 + 30 + 9 = 666.

It is not a de Polignac number, because 5211042309 - 216 = 5210976773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5211042359) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28790199 + ... + 28790379.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

Almost surely, 25211042309 is an apocalyptic number.

5211042309 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

5211042309 is a deficient number, since it is larger than the sum of its proper divisors (3846442491).

5211042309 is a wasteful number, since it uses less digits than its factorization.

5211042309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5211042309 is about 72187.5495428401. The cubic root of 5211042309 is about 1733.7036615991.

The spelling of 5211042309 in words is "five billion, two hundred eleven million, forty-two thousand, three hundred nine".

Divisors: 1 3 9 11 27 31 33 53 59 93 99 159 177 181 279 297 341 477 531 543 583 649 837 1023 1431 1593 1629 1643 1749 1829 1947 1991 3069 3127 4887 4929 5247 5487 5611 5841 5973 9207 9381 9593 10679 14787 15741 16461 16833 17523 17919 18073 20119 28143 28779 32037 34397 44361 49383 50499 53757 54219 60357 61721 84429 86337 96111 96937 103191 105523 117469 151497 162657 181071 185163 259011 288333 290811 297383 309573 316569 331049 352407 487971 543213 555489 565987 872433 892149 928719 949707 993147 1057221 1066307 1666467 1697961 2617299 2676447 2849121 2979441 3171663 3198921 3271213 3641539 5093883 6225857 8029341 8938323 9596763 9813639 10924617 15281649 17545597 18677571 28790289 29440917 32773851 52636791 56032713 88322751 98321553 157910373 168098139 193001567 473731119 579004701 1737014103 5211042309