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42195105171 = 3319191499863
BaseRepresentation
bin100111010011000001…
…100011010110010011
311000220122112102201000
4213103001203112103
51142403421331141
631214551313043
73022430322222
oct472301432623
9130818472630
1042195105171
111699304504a
12821707b783
133c95a8bc6b
142083d32cb9
15116e5885b6
hex9d3063593

42195105171 has 64 divisors (see below), whose sum is σ = 66355200000. Its totient is φ = 26426230560.

The previous prime is 42195105151. The next prime is 42195105191. The reversal of 42195105171 is 17150159124.

42195105171 is a `hidden beast` number, since 4 + 21 + 9 + 510 + 51 + 71 = 666.

It is an interprime number because it is at equal distance from previous prime (42195105151) and next prime (42195105191).

It is not a de Polignac number, because 42195105171 - 217 = 42194974099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42195105151) 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, 48893086 + ... + 48893948.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800000).

Almost surely, 242195105171 is an apocalyptic number.

42195105171 is a deficient number, since it is larger than the sum of its proper divisors (24160094829).

42195105171 is a wasteful number, since it uses less digits than its factorization.

42195105171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 42195105171 in words is "forty-two billion, one hundred ninety-five million, one hundred five thousand, one hundred seventy-one".

Divisors: 1 3 9 19 27 57 171 191 499 513 573 863 1497 1719 2589 3629 4491 5157 7767 9481 10887 13473 16397 23301 28443 32661 49191 85329 95309 97983 147573 164833 255987 285927 430637 442719 494499 857781 1291911 1483497 1810871 2573343 3131827 3875733 4450491 5432613 8182103 9395481 11627199 16297839 24546309 28186443 48893517 73638927 82251667 84559329 220916781 246755001 740265003 1562781673 2220795009 4688345019 14065035057 42195105171