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44162981952 = 2637921113799
BaseRepresentation
bin101001001000010100…
…011010000001000000
311012222210102221011020
4221020110122001000
51210421210410302
632142125545440
73122254103265
oct511024320100
9135883387136
1044162981952
1117802940aa1
128686115280
13421a699aab
1421cd42926c
151237202ebc
hexa4851a040

44162981952 has 112 divisors (see below), whose sum is σ = 118896384000. Its totient is φ = 14464719360.

The previous prime is 44162981921. The next prime is 44162981953. The reversal of 44162981952 is 25918926144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44162981895 and 44162981904.

It is not an unprimeable number, because it can be changed into a prime (44162981953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3193549 + ... + 3207347.

Almost surely, 244162981952 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 44162981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59448192000).

44162981952 is an abundant number, since it is smaller than the sum of its proper divisors (74733402048).

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

44162981952 is a wasteful number, since it uses less digits than its factorization.

44162981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14104 (or 14094 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 44162981952 in words is "forty-four billion, one hundred sixty-two million, nine hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 211 237 316 422 474 632 633 844 948 1264 1266 1688 1896 2528 2532 3376 3792 5056 5064 6752 7584 10128 13504 13799 15168 16669 20256 27598 33338 40512 41397 50007 55196 66676 82794 100014 110392 133352 165588 200028 220784 266704 331176 400056 441568 533408 662352 800112 883136 1066816 1090121 1324704 1600224 2180242 2649408 2911589 3200448 3270363 4360484 5823178 6540726 8720968 8734767 11646356 13081452 17441936 17469534 23292712 26162904 34883872 34939068 46585424 52325808 69767744 69878136 93170848 104651616 139756272 186341696 209303232 230015531 279512544 460031062 559025088 690046593 920062124 1380093186 1840124248 2760186372 3680248496 5520372744 7360496992 11040745488 14720993984 22081490976 44162981952