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41185967049 = 341938593067
BaseRepresentation
bin100110010110110111…
…111111101111001001
310221022022122220110000
4212112313333233021
51133322101421144
630530502113213
72655424641453
oct462667775711
9127268586400
1041185967049
111651544a6a7
127b9511b809
133b649a2606
141dc9cc72d3
151110b9e769
hex996dffbc9

41185967049 has 40 divisors (see below), whose sum is σ = 61935679520. Its totient is φ = 27274351104.

The previous prime is 41185967047. The next prime is 41185967071. The reversal of 41185967049 is 94076958114.

41185967049 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 596 + 7 + 0 + 49 = 666.

It is not a de Polignac number, because 41185967049 - 21 = 41185967047 is a prime.

It is a super-2 number, since 2×411859670492 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41185966986 and 41185967004.

It is not an unprimeable number, because it can be changed into a prime (41185967047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13427214 + ... + 13430280.

It is an arithmetic number, because the mean of its divisors is an integer number (1548391988).

Almost surely, 241185967049 is an apocalyptic number.

It is an amenable number.

41185967049 is a deficient number, since it is larger than the sum of its proper divisors (20749712471).

41185967049 is a wasteful number, since it uses less digits than its factorization.

41185967049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 41185967049 in words is "forty-one billion, one hundred eighty-five million, nine hundred sixty-seven thousand, forty-nine".

Divisors: 1 3 9 27 81 193 579 859 1737 2577 3067 5211 7731 9201 15633 23193 27603 69579 82809 165787 248427 497361 591931 1492083 1775793 2634553 4476249 5327379 7903659 13428747 15982137 23710977 47946411 71132931 213398793 508468729 1525406187 4576218561 13728655683 41185967049