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41146016011 = 1733710976547
BaseRepresentation
bin100110010100011111…
…100110000100001011
310221012112111011220221
4212110133212010023
51133231340003021
630522513530511
72654431236232
oct462437460413
9127175434827
1041146016011
11164a4942911
127b83873a37
133b59625149
141dc4887b19
15110c40c241
hex9947e610b

41146016011 has 16 divisors (see below), whose sum is σ = 43742159136. Its totient is φ = 38569660416.

The previous prime is 41146015993. The next prime is 41146016053. The reversal of 41146016011 is 11061064114.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 41146016011 - 25 = 41146015979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41146016311) by changing a digit.

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, 6281440 + ... + 6287986.

It is an arithmetic number, because the mean of its divisors is an integer number (2733884946).

Almost surely, 241146016011 is an apocalyptic number.

41146016011 is a deficient number, since it is larger than the sum of its proper divisors (2596143125).

41146016011 is a wasteful number, since it uses less digits than its factorization.

41146016011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 41146016011 in words is "forty-one billion, one hundred forty-six million, sixteen thousand, eleven".

Divisors: 1 17 337 1097 5729 6547 18649 111299 369689 2206339 6284713 7182059 37507763 122095003 2420353883 41146016011