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42041770173 = 3313237736737
BaseRepresentation
bin100111001001111000…
…101000000010111101
311000111222000012122000
4213021320220002331
51142100143121143
631151433012513
73015556102344
oct471170500275
9130458005560
1042041770173
1116914535207
128193854139
133c700930b0
14206b81ab5b
151160d9abd3
hex9c9e280bd

42041770173 has 64 divisors (see below), whose sum is σ = 70092449280. Its totient is φ = 24711312384.

The previous prime is 42041770159. The next prime is 42041770207. The reversal of 42041770173 is 37107714024.

42041770173 is a `hidden beast` number, since 4 + 2 + 0 + 417 + 70 + 173 = 666.

It is not a de Polignac number, because 42041770173 - 210 = 42041769149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041770153) 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 63 ways as a sum of consecutive naturals, for example, 6237061 + ... + 6243797.

It is an arithmetic number, because the mean of its divisors is an integer number (1095194520).

Almost surely, 242041770173 is an apocalyptic number.

It is an amenable number.

42041770173 is a deficient number, since it is larger than the sum of its proper divisors (28050679107).

42041770173 is a wasteful number, since it uses less digits than its factorization.

42041770173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 42041770173 in words is "forty-two billion, forty-one million, seven hundred seventy thousand, one hundred seventy-three".

Divisors: 1 3 9 13 23 27 39 69 117 207 299 351 621 773 897 2319 2691 6737 6957 8073 10049 17779 20211 20871 30147 53337 60633 87581 90441 154951 160011 181899 231127 262743 271323 464853 480033 693381 788229 1394559 2014363 2080143 2364687 4183677 5207701 6043089 6240429 15623103 18129267 46869309 54387801 67700113 119777123 140607927 203100339 359331369 609301017 1077994107 1557102599 1827903051 3233982321 4671307797 14013923391 42041770173