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42191899167 = 31179103157127
BaseRepresentation
bin100111010010110101…
…010100101000011111
311000220102111112220010
4213102311110220133
51142402111233132
631214354454303
73022361140245
oct472265245037
9130812445803
1042191899167
1116991255360
128215b94393
133c95208912
14208373a795
15116e1536cc
hex9d2d54a1f

42191899167 has 32 divisors (see below), whose sum is σ = 62750638080. Its totient is φ = 25001889120.

The previous prime is 42191899153. The next prime is 42191899199. The reversal of 42191899167 is 76199819124.

It is not a de Polignac number, because 42191899167 - 211 = 42191897119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42191899147) 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 31 ways as a sum of consecutive naturals, for example, 189958 + ... + 347084.

It is an arithmetic number, because the mean of its divisors is an integer number (1960957440).

Almost surely, 242191899167 is an apocalyptic number.

42191899167 is a deficient number, since it is larger than the sum of its proper divisors (20558738913).

42191899167 is a wasteful number, since it uses less digits than its factorization.

42191899167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157323.

The product of its digits is 1959552, while the sum is 57.

The spelling of 42191899167 in words is "forty-two billion, one hundred ninety-one million, eight hundred ninety-nine thousand, one hundred sixty-seven".

Divisors: 1 3 11 33 79 103 237 309 869 1133 2607 3399 8137 24411 89507 157127 268521 471381 1728397 5185191 12413033 16184081 37239099 48552243 136543363 178024891 409630089 534074673 1278542399 3835627197 14063966389 42191899167