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42167167549 = 133787665629
BaseRepresentation
bin100111010001010110…
…111110101000111101
311000211200222001111021
4213101112332220331
51142324243330144
631212112424141
73021641003353
oct472126765075
9130750861437
1042167167549
11169792a3101
128209848051
133c90059920
14208033d7d3
15116bdba884
hex9d15bea3d

42167167549 has 8 divisors (see below), whose sum is σ = 46638115160. Its totient is φ = 37871551296.

The previous prime is 42167167517. The next prime is 42167167561. The reversal of 42167167549 is 94576176124.

It can be written as a sum of positive squares in 4 ways, for example, as 15321983524 + 26845184025 = 123782^2 + 163845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42167167549 - 25 = 42167167517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42167167496 and 42167167505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42167167579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43832334 + ... + 43833295.

It is an arithmetic number, because the mean of its divisors is an integer number (5829764395).

Almost surely, 242167167549 is an apocalyptic number.

It is an amenable number.

42167167549 is a deficient number, since it is larger than the sum of its proper divisors (4470947611).

42167167549 is a wasteful number, since it uses less digits than its factorization.

42167167549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87665679.

The product of its digits is 2540160, while the sum is 52.

The spelling of 42167167549 in words is "forty-two billion, one hundred sixty-seven million, one hundred sixty-seven thousand, five hundred forty-nine".

Divisors: 1 13 37 481 87665629 1139653177 3243628273 42167167549