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44950805944 = 2311293749559
BaseRepresentation
bin101001110111010001…
…101101110110111000
311022000200212112111121
4221313101231312320
51214024401242234
632352231435024
73150631355242
oct516721556670
9138020775447
1044950805944
1118077615900
128865b25a74
134314978835
142265d05092
1512814724b4
hexa7746ddb8

44950805944 has 48 divisors (see below), whose sum is σ = 92742123600. Its totient is φ = 20409966720.

The previous prime is 44950805923. The next prime is 44950805951.

44950805944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×449508059442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44950805891 and 44950805900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 882237 + ... + 931795.

It is an arithmetic number, because the mean of its divisors is an integer number (1932127575).

Almost surely, 244950805944 is an apocalyptic number.

44950805944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44950805944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46371061800).

44950805944 is an abundant number, since it is smaller than the sum of its proper divisors (47791317656).

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

44950805944 is a wasteful number, since it uses less digits than its factorization.

44950805944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50524 (or 50509 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 44950805944 in words is "forty-four billion, nine hundred fifty million, eight hundred five thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 937 968 1874 3748 7496 10307 20614 41228 49559 82456 99118 113377 198236 226754 396472 453508 545149 907016 1090298 2180596 4361192 5996639 11993278 23986556 46436783 47973112 92873566 185747132 371494264 510804613 1021609226 2043218452 4086436904 5618850743 11237701486 22475402972 44950805944