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41182957541 = 112449758029
BaseRepresentation
bin100110010110101100…
…100000111111100101
310221022010000000011202
4212112230200333211
51133320314120131
630530313412245
72655360235415
oct462654407745
9127263000152
1041182957541
1116513784600
127b9410a085
133b6418a83b
141dc9742645
1511107a7bcb
hex996b20fe5

41182957541 has 12 divisors (see below), whose sum is σ = 45368095500. Its totient is φ = 37355619840.

The previous prime is 41182957493. The next prime is 41182957561. The reversal of 41182957541 is 14575928114.

It can be written as a sum of positive squares in 2 ways, for example, as 13175596225 + 28007361316 = 114785^2 + 167354^2 .

It is not a de Polignac number, because 41182957541 - 218 = 41182695397 is a prime.

It is a super-3 number, since 3×411829575413 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41182957561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324686 + ... + 433343.

It is an arithmetic number, because the mean of its divisors is an integer number (3780674625).

Almost surely, 241182957541 is an apocalyptic number.

It is an amenable number.

41182957541 is a deficient number, since it is larger than the sum of its proper divisors (4185137959).

41182957541 is a wasteful number, since it uses less digits than its factorization.

41182957541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758500 (or 758489 counting only the distinct ones).

The product of its digits is 403200, while the sum is 47.

The spelling of 41182957541 in words is "forty-one billion, one hundred eighty-two million, nine hundred fifty-seven thousand, five hundred forty-one".

Divisors: 1 11 121 449 4939 54329 758029 8338319 91721509 340355021 3743905231 41182957541