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44550166105544 = 231116311617267353
BaseRepresentation
bin10100010000100101001001…
…10100110100110111001000
312211201221202200012122002012
422020102210310310313020
521314402220010334134
6234430021435155052
712245433434560631
oct1210224464646710
9184657680178065
1044550166105544
111321668a3897a0
124bb61545a5a88
131bb20a77cb488
14b0034d44a888
15523cbaa616ce
hex2884a4d34dc8

44550166105544 has 64 divisors (see below), whose sum is σ = 91692626149440. Its totient is φ = 20124034191360.

The previous prime is 44550166105531. The next prime is 44550166105567.

44550166105544 is nontrivially palindromic in base 10.

44550166105544 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×445501661055442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44550166105492 and 44550166105501.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 166500572 + ... + 166767924.

It is an arithmetic number, because the mean of its divisors is an integer number (1432697283585).

Almost surely, 244550166105544 is an apocalyptic number.

44550166105544 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 44550166105544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45846313074720).

44550166105544 is an abundant number, since it is smaller than the sum of its proper divisors (47142460043896).

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

44550166105544 is a wasteful number, since it uses less digits than its factorization.

44550166105544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279150 (or 279146 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 50.

The spelling of 44550166105544 in words is "forty-four trillion, five hundred fifty billion, one hundred sixty-six million, one hundred five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1304 1793 3586 7172 11617 14344 23234 46468 92936 127787 255574 267353 511148 534706 1022296 1069412 1893571 2138824 2940883 3787142 5881766 7574284 11763532 15148568 20829281 23527064 41658562 43578539 83317124 87157078 166634248 174314156 348628312 479363929 958727858 1917455716 3105839801 3834911432 6211679602 12423359204 24846718408 34164237811 68328475622 136656951244 273313902488 506251887563 1012503775126 2025007550252 4050015100504 5568770763193 11137541526386 22275083052772 44550166105544