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41981108352 = 273415350311
BaseRepresentation
bin100111000110010001…
…001110000010000000
311000100201212021020220
4213012101032002000
51141434130431402
631141424503040
73014221350621
oct470621160200
9130321767226
1041981108352
1116893272077
12817747aa80
133c60643b21
142063749a48
15115a8b6dbc
hex9c644e080

41981108352 has 128 divisors (see below), whose sum is σ = 116389768320. Its totient is φ = 13394534400.

The previous prime is 41981108321. The next prime is 41981108357. The reversal of 41981108352 is 25380118914.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (41981108357) 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, 809277 + ... + 859587.

It is an arithmetic number, because the mean of its divisors is an integer number (909295065).

Almost surely, 241981108352 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 41981108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58194884160).

41981108352 is an abundant number, since it is smaller than the sum of its proper divisors (74408659968).

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

41981108352 is a wasteful number, since it uses less digits than its factorization.

41981108352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50422 (or 50410 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 41981108352 in words is "forty-one billion, nine hundred eighty-one million, one hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 128 159 164 192 212 246 318 328 384 424 492 636 656 848 984 1272 1312 1696 1968 2173 2544 2624 3392 3936 4346 5088 5248 6519 6784 7872 8692 10176 13038 15744 17384 20352 26076 34768 50311 52152 69536 100622 104304 139072 150933 201244 208608 278144 301866 402488 417216 603732 804976 834432 1207464 1609952 2062751 2414928 2666483 3219904 4125502 4829856 5332966 6188253 6439808 7999449 8251004 9659712 10665932 12376506 15998898 16502008 19319424 21331864 24753012 31997796 33004016 42663728 49506024 63995592 66008032 85327456 99012048 109325803 127991184 132016064 170654912 198024096 218651606 255982368 264032128 327977409 341309824 396048192 437303212 511964736 655954818 792096384 874606424 1023929472 1311909636 1749212848 2623819272 3498425696 5247638544 6996851392 10495277088 13993702784 20990554176 41981108352