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41841004649 = 614649147541
BaseRepresentation
bin100110111101111010…
…110001000001101001
310222222222020021002212
4212331322301001221
51141142244122044
631115501534505
73010600446203
oct467572610151
9128888207085
1041841004649
111682117a094
128138574435
133c3a5cb522
14204ccb9773
15114d43ea9e
hex9bdeb1069

41841004649 has 8 divisors (see below), whose sum is σ = 42536358600. Its totient is φ = 41145955200.

The previous prime is 41841004609. The next prime is 41841004651. The reversal of 41841004649 is 94640014814.

It can be written as a sum of positive squares in 4 ways, for example, as 482461225 + 41358543424 = 21965^2 + 203368^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 41841004649 - 220 = 41839956073 is a prime.

It is a super-3 number, since 3×418410046493 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41841004609) 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 7 ways as a sum of consecutive naturals, for example, 209819 + ... + 357359.

It is an arithmetic number, because the mean of its divisors is an integer number (5317044825).

Almost surely, 241841004649 is an apocalyptic number.

It is an amenable number.

41841004649 is a deficient number, since it is larger than the sum of its proper divisors (695353951).

41841004649 is a wasteful number, since it uses less digits than its factorization.

41841004649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152251.

The product of its (nonzero) digits is 110592, while the sum is 41.

It can be divided in two parts, 4184100 and 4649, that multiplied together give a square (19451880900 = 1394702).

The spelling of 41841004649 in words is "forty-one billion, eight hundred forty-one million, four thousand, six hundred forty-nine".

Divisors: 1 61 4649 147541 283589 9000001 685918109 41841004649