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44126762085 = 3257223385889
BaseRepresentation
bin101001000110001010…
…001111010001100101
311012220021021202211200
4221012022033101211
51210332422341320
632134353353113
73121334201100
oct510612172145
9135807252750
1044126762085
111779445251a
128675b68799
134213027a13
1421c86bb737
151233e4b290
hexa4628f465

44126762085 has 72 divisors (see below), whose sum is σ = 89356863960. Its totient is φ = 20085424128.

The previous prime is 44126762041. The next prime is 44126762087. The reversal of 44126762085 is 58026762144.

44126762085 is a `hidden beast` number, since 4 + 4 + 12 + 6 + 7 + 620 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9053712801 + 35073049284 = 95151^2 + 187278^2 .

It is not a de Polignac number, because 44126762085 - 27 = 44126761957 is a prime.

It is a super-2 number, since 2×441267620852 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44126762085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44126762087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470821 + ... + 556709.

It is an arithmetic number, because the mean of its divisors is an integer number (1241067555).

Almost surely, 244126762085 is an apocalyptic number.

44126762085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44126762085 is an abundant number, since it is smaller than the sum of its proper divisors (45230101875).

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

44126762085 is a wasteful number, since it uses less digits than its factorization.

44126762085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86147 (or 86137 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 44126762085 in words is "forty-four billion, one hundred twenty-six million, seven hundred sixty-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 233 245 315 441 699 735 1165 1631 2097 2205 3495 4893 8155 10485 11417 14679 24465 34251 57085 73395 85889 102753 171255 257667 429445 513765 601223 773001 1288335 1803669 3006115 3865005 4208561 5411007 9018345 12625683 20012137 21042805 27055035 37877049 60036411 63128415 100060685 140084959 180109233 189385245 300182055 420254877 700424795 900546165 980594713 1260764631 2101274385 2941784139 4902973565 6303823155 8825352417 14708920695 44126762085