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23449392135 = 33513373311091
BaseRepresentation
bin10101110101101100…
…010101010000000111
32020112020011112201000
4111311230111100013
5341011021022020
614434505504343
71460045354511
oct256554252007
966466145630
1023449392135
119a43630424
1246651a20b3
132299205280
1411c646cbb1
159239cd090
hex575b15407

23449392135 has 128 divisors (see below), whose sum is σ = 46289617920. Its totient is φ = 11188108800.

The previous prime is 23449392107. The next prime is 23449392137. The reversal of 23449392135 is 53129394432.

23449392135 is a `hidden beast` number, since 2 + 344 + 93 + 9 + 213 + 5 = 666.

It is not a de Polignac number, because 23449392135 - 213 = 23449383943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23449392137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21492940 + ... + 21494030.

It is an arithmetic number, because the mean of its divisors is an integer number (361637640).

Almost surely, 223449392135 is an apocalyptic number.

23449392135 is a deficient number, since it is larger than the sum of its proper divisors (22840225785).

23449392135 is a wasteful number, since it uses less digits than its factorization.

23449392135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 23449392135 in words is "twenty-three billion, four hundred forty-nine million, three hundred ninety-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 111 117 135 185 195 331 333 351 481 555 585 993 999 1091 1443 1655 1665 1755 2405 2979 3273 4303 4329 4965 4995 5455 7215 8937 9819 12247 12909 12987 14183 14895 16365 21515 21645 29457 36741 38727 40367 42549 44685 49095 61235 64545 64935 70915 110223 116181 121101 127647 147285 159211 183705 193635 201835 212745 330669 361121 363303 382941 477633 524771 551115 580905 605505 638235 796055 1083363 1089909 1432899 1574313 1653345 1805605 1816515 1914705 2388165 2623855 3250089 4298697 4694573 4722939 5416815 5449545 7164495 7871565 9750267 13361477 14083719 14168817 16250445 21493485 23472865 23614695 40084431 42251157 48751335 66807385 70418595 70844085 120253293 126753471 173699201 200422155 211255785 360759879 521097603 601266465 633767355 868496005 1563292809 1803799395 2605488015 4689878427 7816464045 23449392135