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41643244256166 = 23371812512424937
BaseRepresentation
bin10010111011111110100101…
…10001111111101110100110
312110110001111021220022121000
421131333102301333232212
520424240331012144131
6224322350423334130
711525424261544260
oct1135772261775646
9173401437808530
1041643244256166
11122a5889822243
1248068a62b1346
131a30c30738757
14a3d78819cb30
154c3382a28ce6
hex25dfd2c7fba6

41643244256166 has 128 divisors (see below), whose sum is σ = 106768662174720. Its totient is φ = 11785188960000.

The previous prime is 41643244256161. The next prime is 41643244256231. The reversal of 41643244256166 is 66165244234614.

41643244256166 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 32 + 4 + 42 + 561 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41643244256161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15960450 + ... + 18385386.

It is an arithmetic number, because the mean of its divisors is an integer number (834130173240).

Almost surely, 241643244256166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41643244256166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53384331087360).

41643244256166 is an abundant number, since it is smaller than the sum of its proper divisors (65125417918554).

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

41643244256166 is a wasteful number, since it uses less digits than its factorization.

41643244256166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425387 (or 2425381 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 41643244256166 in words is "forty-one trillion, six hundred forty-three billion, two hundred forty-four million, two hundred fifty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 181 189 251 362 378 502 543 753 1086 1267 1506 1629 1757 2259 2534 3258 3514 3801 4518 4887 5271 6777 7602 9774 10542 11403 13554 15813 22806 31626 34209 45431 47439 68418 90862 94878 136293 272586 318017 408879 636034 817758 954051 1226637 1908102 2424937 2453274 2862153 4849874 5724306 7274811 8586459 14549622 16974559 17172918 21824433 33949118 43648866 50923677 65473299 101847354 130946598 152771031 305542062 438913597 458313093 608659187 877827194 916626186 1217318374 1316740791 1825977561 2633481582 3072395179 3651955122 3950222373 4260614309 5477932683 6144790358 7900444746 8521228618 9217185537 10955865366 11850667119 12781842927 16433798049 18434371074 23701334238 25563685854 27651556611 32867596098 38345528781 55303113222 76691057562 82954669833 110167312847 115036586343 165909339666 220334625694 230073172686 330501938541 661003877082 771171189929 991505815623 1542342379858 1983011631246 2313513569787 2974517446869 4627027139574 5949034893738 6940540709361 13881081418722 20821622128083 41643244256166