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41955563205 = 3256637140477
BaseRepresentation
bin100111000100101111…
…110001011011000101
311000021221210102220100
4213010233301123011
51141411111010310
631135113154313
73013461255153
oct470457613305
9130257712810
1041955563205
111687a904686
12816a9bb999
133c5826b75a
1420601ba3d3
15115851cec0
hex9c4bf16c5

41955563205 has 24 divisors (see below), whose sum is σ = 72734451192. Its totient is φ = 22372769664.

The previous prime is 41955563191. The next prime is 41955563213. The reversal of 41955563205 is 50236555914.

41955563205 is a `hidden beast` number, since 4 + 1 + 9 + 5 + 5 + 5 + 632 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2871459396 + 39084103809 = 53586^2 + 197697^2 .

It is not a de Polignac number, because 41955563205 - 28 = 41955562949 is a prime.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 228427 + ... + 368903.

It is an arithmetic number, because the mean of its divisors is an integer number (3030602133).

Almost surely, 241955563205 is an apocalyptic number.

41955563205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41955563205 is a deficient number, since it is larger than the sum of its proper divisors (30778887987).

41955563205 is a wasteful number, since it uses less digits than its factorization.

41955563205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147125 (or 147122 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 41955563205 in words is "forty-one billion, nine hundred fifty-five million, five hundred sixty-three thousand, two hundred five".

Divisors: 1 3 5 9 15 45 6637 19911 33185 59733 99555 140477 298665 421431 702385 1264293 2107155 6321465 932345849 2797037547 4661729245 8391112641 13985187735 41955563205