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41943007872 = 27344198669
BaseRepresentation
bin100111000011111111…
…111000001010000000
311000021002011120020000
4213003333320022000
51141344402222442
631133544120000
73013246453533
oct470377701200
9130232146200
1041943007872
1116873809677
128166766000
133c55793a6c
14205c66ca1a
15115738cd4c
hex9c3ff8280

41943007872 has 160 divisors (see below), whose sum is σ = 127867439700. Its totient is φ = 13639864320.

The previous prime is 41943007861. The next prime is 41943007879. The reversal of 41943007872 is 27870034914.

It can be written as a sum of positive squares in 2 ways, for example, as 28555592256 + 13387415616 = 168984^2 + 115704^2 .

It is not an unprimeable number, because it can be changed into a prime (41943007879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 375754 + ... + 474422.

Almost surely, 241943007872 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 41943007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63933719850).

41943007872 is an abundant number, since it is smaller than the sum of its proper divisors (85924431828).

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

41943007872 is an equidigital number, since it uses as much as digits as its factorization.

41943007872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98736 (or 98715 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 41943007872 in words is "forty-one billion, nine hundred forty-three million, seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 492 576 648 656 738 864 984 1107 1152 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3456 3936 4428 5184 5248 5904 6642 7872 8856 10368 11808 13284 15744 17712 23616 26568 35424 47232 53136 70848 98669 106272 141696 197338 212544 296007 394676 425088 592014 789352 888021 1184028 1578704 1776042 2368056 2664063 3157408 3552084 4045429 4736112 5328126 6314816 7104168 7992189 8090858 9472224 10656252 12136287 12629632 14208336 15984378 16181716 18944448 21312504 24272574 28416672 31968756 32363432 36408861 37888896 42625008 48545148 56833344 63937512 64726864 72817722 85250016 97090296 109226583 113666688 127875024 129453728 145635444 170500032 194180592 218453166 255750048 258907456 291270888 327679749 341000064 388361184 436906332 511500096 517814912 582541776 655359498 776722368 873812664 1023000192 1165083552 1310718996 1553444736 1747625328 2330167104 2621437992 3495250656 4660334208 5242875984 6990501312 10485751968 13981002624 20971503936 41943007872