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41148185601 = 3191346953597
BaseRepresentation
bin100110010100100111…
…110111110000000001
310221012200120102001010
4212110213313300001
51133232413414401
630523032231133
72654455543455
oct462447676001
9127180512033
1041148185601
11164a6094966
127b8453b4a9
133b59c04823
141dc4c90665
15110c6d9ed6
hex9949f7c01

41148185601 has 16 divisors (see below), whose sum is σ = 57757204800. Its totient is φ = 25985913408.

The previous prime is 41148185593. The next prime is 41148185623. The reversal of 41148185601 is 10658184114.

It is not a de Polignac number, because 41148185601 - 23 = 41148185593 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41148185601.

It is not an unprimeable number, because it can be changed into a prime (41148185641) 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, 740935 + ... + 794531.

It is an arithmetic number, because the mean of its divisors is an integer number (3609825300).

Almost surely, 241148185601 is an apocalyptic number.

It is an amenable number.

41148185601 is a deficient number, since it is larger than the sum of its proper divisors (16609019199).

41148185601 is a wasteful number, since it uses less digits than its factorization.

41148185601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67088.

The product of its (nonzero) digits is 30720, while the sum is 39.

The spelling of 41148185601 in words is "forty-one billion, one hundred forty-eight million, one hundred eighty-five thousand, six hundred one".

Divisors: 1 3 19 57 13469 40407 53597 160791 255911 767733 1018343 3055029 721897993 2165693979 13716061867 41148185601