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41895488000 = 29532922573
BaseRepresentation
bin100111000001001010…
…100110101000000000
311000010202202022012202
4213001022212220000
51141300221104000
631125125412332
73012131525612
oct470112465000
9130122668182
1041895488000
1116849a02253
12815286a0a8
133c489964b2
14205621cdb2
151153102dd5
hex9c12a6a00

41895488000 has 160 divisors (see below), whose sum is σ = 108076185360. Its totient is φ = 16179609600.

The previous prime is 41895487993. The next prime is 41895488017. The reversal of 41895488000 is 88459814.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 286015744 + 41609472256 = 16912^2 + 203984^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844714 + ... + 1867286.

Almost surely, 241895488000 is an apocalyptic number.

41895488000 is a gapful number since it is divisible by the number (40) 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 41895488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54038092680).

41895488000 is an abundant number, since it is smaller than the sum of its proper divisors (66180697360).

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

41895488000 is an equidigital number, since it uses as much as digits as its factorization.

41895488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22635 (or 22609 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 47.

The spelling of 41895488000 in words is "forty-one billion, eight hundred ninety-five million, four hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 290 320 400 464 500 512 580 640 725 800 928 1000 1160 1280 1450 1600 1856 2000 2320 2560 2900 3200 3625 3712 4000 4640 5800 6400 7250 7424 8000 9280 11600 12800 14500 14848 16000 18560 22573 23200 29000 32000 37120 45146 46400 58000 64000 74240 90292 92800 112865 116000 180584 185600 225730 232000 361168 371200 451460 464000 564325 654617 722336 902920 928000 1128650 1309234 1444672 1805840 1856000 2257300 2618468 2821625 2889344 3273085 3611680 4514600 5236936 5643250 5778688 6546170 7223360 9029200 10473872 11286500 11557376 13092340 14446720 16365425 18058400 20947744 22573000 26184680 28893440 32730850 36116800 41895488 45146000 52369360 57786880 65461700 72233600 81827125 83790976 90292000 104738720 130923400 144467200 163654250 167581952 180584000 209477440 261846800 288934400 327308500 335163904 361168000 418954880 523693600 654617000 722336000 837909760 1047387200 1309234000 1444672000 1675819520 2094774400 2618468000 4189548800 5236936000 8379097600 10473872000 20947744000 41895488000