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41181085248 = 2633718132027
BaseRepresentation
bin100110010110100101…
…010111111001000000
310221021222110212212120
4212112211113321000
51133314324211443
630530205324240
72655335310012
oct462645277100
9127258425776
1041181085248
1116512715956
127b93566680
133b63983584
141dc93b61b2
151110538083
hex996957e40

41181085248 has 112 divisors (see below), whose sum is σ = 112524869184. Its totient is φ = 13281822720.

The previous prime is 41181085237. The next prime is 41181085289. The reversal of 41181085248 is 84258018114.

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 15 ways as a sum of consecutive naturals, for example, 1269811 + ... + 1301837.

It is an arithmetic number, because the mean of its divisors is an integer number (1004686332).

Almost surely, 241181085248 is an apocalyptic number.

41181085248 is a gapful number since it is divisible by the number (48) 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 41181085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56262434592).

41181085248 is an abundant number, since it is smaller than the sum of its proper divisors (71343783936).

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

41181085248 is a wasteful number, since it uses less digits than its factorization.

41181085248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32260 (or 32250 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The spelling of 41181085248 in words is "forty-one billion, one hundred eighty-one million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 181 192 222 296 362 444 543 592 724 888 1086 1184 1448 1776 2172 2368 2896 3552 4344 5792 6697 7104 8688 11584 13394 17376 20091 26788 32027 34752 40182 53576 64054 80364 96081 107152 128108 160728 192162 214304 256216 321456 384324 428608 512432 642912 768648 1024864 1184999 1285824 1537296 2049728 2369998 3074592 3554997 4739996 5796887 6149184 7109994 9479992 11593774 14219988 17390661 18959984 23187548 28439976 34781322 37919968 46375096 56879952 69562644 75839936 92750192 113759904 139125288 185500384 214484819 227519808 278250576 371000768 428969638 556501152 643454457 857939276 1113002304 1286908914 1715878552 2573817828 3431757104 5147635656 6863514208 10295271312 13727028416 20590542624 41181085248