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45435231135 = 32572178913619
BaseRepresentation
bin101010010100001001…
…101001101110011111
311100021110101212221100
4222110021221232133
51221022404344020
632512254404143
73165633043500
oct522411515637
9140243355840
1045435231135
11182a60046a8
128980200653
134391139768
1422b03a4ba7
1512adc60a90
hexa94269b9f

45435231135 has 144 divisors (see below), whose sum is σ = 98098322400. Its totient is φ = 19327537152.

The previous prime is 45435231071. The next prime is 45435231137. The reversal of 45435231135 is 53113253454.

45435231135 is a `hidden beast` number, since 4 + 543 + 52 + 31 + 1 + 35 = 666.

It is not a de Polignac number, because 45435231135 - 26 = 45435231071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45435231135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45435231137) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3329356 + ... + 3342974.

It is an arithmetic number, because the mean of its divisors is an integer number (681238350).

Almost surely, 245435231135 is an apocalyptic number.

45435231135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45435231135 is an abundant number, since it is smaller than the sum of its proper divisors (52663091265).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45435231135 is a wasteful number, since it uses less digits than its factorization.

45435231135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750 (or 13740 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 45435231135 its reverse (53113253454), we get a palindrome (98548484589).

The spelling of 45435231135 in words is "forty-five billion, four hundred thirty-five million, two hundred thirty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 89 105 119 147 153 245 255 267 315 357 441 445 595 623 735 765 801 833 1071 1335 1513 1785 1869 2205 2499 3115 4005 4165 4361 4539 5355 5607 7497 7565 9345 10591 12495 13083 13617 13619 21805 22695 28035 31773 37485 39249 40857 52955 65415 68085 68095 74137 95319 95333 122571 158865 196245 204285 222411 231523 285999 370685 476595 476665 612855 667233 667331 694569 857997 1112055 1157615 1212091 1429995 1620661 2001993 2083707 3336165 3336655 3472845 3636273 4289985 4861983 6005979 6060455 8103305 8484637 10009965 10418535 10908819 11344627 14585949 18181365 20605547 24309915 25453911 30029895 34033881 42423185 54544095 56723135 59392459 61816641 72929745 76361733 102101643 103027735 127269555 144238829 170169405 178177377 185449923 296962295 309083205 381808665 432716487 510508215 534532131 721194145 890886885 927249615 1009671803 1298149461 2163582435 2672660655 3029015409 5048359015 6490747305 9087046227 15145077045 45435231135