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41094543168 = 2632710192099
BaseRepresentation
bin100110010001011011…
…001111011101000000
310221001221122002110100
4212101123033131000
51133130200340133
630513434402400
72653234565520
oct462133173500
9127057562410
1041094543168
1116478886578
127b6a590400
133b4ba72543
141dbbac9680
151107b40e13
hex9916cf740

41094543168 has 84 divisors (see below), whose sum is σ = 134617256800. Its totient is φ = 11741296896.

The previous prime is 41094543121. The next prime is 41094543181. The reversal of 41094543168 is 86134549014.

41094543168 is a `hidden beast` number, since 4 + 1 + 0 + 94 + 543 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×410945431682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5092018 + ... + 5100081.

Almost surely, 241094543168 is an apocalyptic number.

41094543168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41094543168 is an abundant number, since it is smaller than the sum of its proper divisors (93522713632).

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

41094543168 is a wasteful number, since it uses less digits than its factorization.

41094543168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192124 (or 10192111 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 41094543168 in words is "forty-one billion, ninety-four million, five hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 10192099 20384198 30576297 40768396 61152594 71344693 81536792 91728891 122305188 142689386 163073584 183457782 214034079 244610376 285378772 326147168 366915564 428068158 489220752 570757544 642102237 652294336 733831128 856136316 978441504 1141515088 1284204474 1467662256 1712272632 1956883008 2283030176 2568408948 2935324512 3424545264 4566060352 5136817896 5870649024 6849090528 10273635792 13698181056 20547271584 41094543168