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44553965868 = 223319210692
BaseRepresentation
bin101001011111100111…
…111001000100101100
311021000001010222021000
4221133213321010230
51212221303401433
632245014040300
73135042314136
oct513747710454
9137001128230
1044553965868
1117993608aa5
128775049090
1342806a2619
142229324056
15125b6d5113
hexa5f9f912c

44553965868 has 108 divisors (see below), whose sum is σ = 122023891080. Its totient is φ = 14056511904.

The previous prime is 44553965831. The next prime is 44553965893. The reversal of 44553965868 is 86856935544.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

44553965868 is a `hidden beast` number, since 4 + 45 + 5 + 3 + 9 + 6 + 586 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41677638 + ... + 41678706.

Almost surely, 244553965868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44553965868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61011945540).

44553965868 is an abundant number, since it is smaller than the sum of its proper divisors (77469925212).

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

44553965868 is a wasteful number, since it uses less digits than its factorization.

44553965868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 1093 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 44553965868 in words is "forty-four billion, five hundred fifty-three million, nine hundred sixty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 361 513 684 722 1026 1069 1083 1444 2052 2138 2166 3207 3249 4276 4332 6414 6498 9621 9747 12828 12996 19242 19494 20311 28863 38484 38988 40622 57726 60933 81244 115452 121866 182799 243732 365598 385909 548397 731196 771818 1096794 1142761 1157727 1543636 2193588 2285522 2315454 3428283 3473181 4571044 4630908 6856566 6946362 10284849 10419543 13713132 13892724 20569698 20839086 21712459 30854547 41139396 41678172 43424918 61709094 65137377 86849836 123418188 130274754 195412131 260549508 390824262 412536721 586236393 781648524 825073442 1172472786 1237610163 1650146884 2344945572 2475220326 3712830489 4950440652 7425660978 11138491467 14851321956 22276982934 44553965868