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41093662128 = 2432968343223
BaseRepresentation
bin100110010001010111…
…111000010110110000
310221001212222022220020
4212101113320112300
51133124434142003
630513403443440
72653224236061
oct462127702660
9127055868806
1041093662128
1116478334642
127b6a226580
133b4b82450c
141dbb93a568
151107a19d53
hex9915f85b0

41093662128 has 80 divisors (see below), whose sum is σ = 109982603520. Its totient is φ = 13205876992.

The previous prime is 41093662117. The next prime is 41093662133. The reversal of 41093662128 is 82126639014.

It is a self number, because there is not a number n which added to its sum of digits gives 41093662128.

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, 929125 + ... + 972347.

It is an arithmetic number, because the mean of its divisors is an integer number (1374782544).

Almost surely, 241093662128 is an apocalyptic number.

41093662128 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 41093662128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54991301760).

41093662128 is an abundant number, since it is smaller than the sum of its proper divisors (68888941392).

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

41093662128 is a wasteful number, since it uses less digits than its factorization.

41093662128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43946 (or 43940 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 41093662128 in words is "forty-one billion, ninety-three million, six hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 683 696 1366 1392 2049 2732 4098 5464 8196 10928 16392 19807 32784 39614 43223 59421 79228 86446 118842 129669 158456 172892 237684 259338 316912 345784 475368 518676 691568 950736 1037352 1253467 2074704 2506934 3760401 5013868 7520802 10027736 15041604 20055472 29521309 30083208 59042618 60166416 88563927 118085236 177127854 236170472 354255708 472340944 708511416 856117961 1417022832 1712235922 2568353883 3424471844 5136707766 6848943688 10273415532 13697887376 20546831064 41093662128