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41668223805 = 32513173411721
BaseRepresentation
bin100110110011100111…
…101010001100111101
310222112221010002100100
4212303213222030331
51140314031130210
631050410351313
73003402026025
oct466347521475
9128487102310
1041668223805
11167426982aa
1280aa72b539
133c10884540
142033d80a85
15113d1b05c0
hex9b39ea33d

41668223805 has 48 divisors (see below), whose sum is σ = 78230473776. Its totient is φ = 20394961920.

The previous prime is 41668223789. The next prime is 41668223873. The reversal of 41668223805 is 50832286614.

41668223805 is a `hidden beast` number, since 416 + 6 + 8 + 223 + 8 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2233413081 + 39434810724 = 47259^2 + 198582^2 .

It is not a de Polignac number, because 41668223805 - 24 = 41668223789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104656 + ... + 307065.

It is an arithmetic number, because the mean of its divisors is an integer number (1629801537).

Almost surely, 241668223805 is an apocalyptic number.

41668223805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41668223805 is a deficient number, since it is larger than the sum of its proper divisors (36562249971).

41668223805 is a wasteful number, since it uses less digits than its factorization.

41668223805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411918 (or 411915 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 41668223805 in words is "forty-one billion, six hundred sixty-eight million, two hundred twenty-three thousand, eight hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 173 195 519 585 865 1557 2249 2595 6747 7785 11245 20241 33735 101205 411721 1235163 2058605 3705489 5352373 6175815 16057119 18527445 26761865 48171357 71227733 80285595 213683199 240856785 356138665 641049597 925960529 1068415995 2777881587 3205247985 4629802645 8333644761 13889407935 41668223805