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42307257177 = 351031168869
BaseRepresentation
bin100111011001101101…
…011000001101011001
311001012110120100100000
4213121231120031121
51143121124212202
631234035203213
73025261516053
oct473155301531
9131173510300
1042307257177
1116a40386559
128248746509
133cb30989b3
142094ba88d3
15117933d91c
hex9d9b58359

42307257177 has 24 divisors (see below), whose sum is σ = 63435677760. Its totient is φ = 28177314480.

The previous prime is 42307257121. The next prime is 42307257203. The reversal of 42307257177 is 77175270324.

42307257177 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 7 + 2 + 571 + 77 = 666.

It is not a de Polignac number, because 42307257177 - 212 = 42307253081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42302257177) 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 23 ways as a sum of consecutive naturals, for example, 166099 + ... + 334967.

It is an arithmetic number, because the mean of its divisors is an integer number (2643153240).

Almost surely, 242307257177 is an apocalyptic number.

It is an amenable number.

42307257177 is a deficient number, since it is larger than the sum of its proper divisors (21128420583).

42307257177 is a wasteful number, since it uses less digits than its factorization.

42307257177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169915 (or 169903 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

It can be divided in two parts, 423072 and 57177, that added together give a square (480249 = 6932).

The spelling of 42307257177 in words is "forty-two billion, three hundred seven million, two hundred fifty-seven thousand, one hundred seventy-seven".

Divisors: 1 3 9 27 81 243 1031 3093 9279 27837 83511 168869 250533 506607 1519821 4559463 13678389 41035167 174103939 522311817 1566935451 4700806353 14102419059 42307257177