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42167374717 = 1353372
BaseRepresentation
bin100111010001010111…
…110001001101111101
311000211201100120200011
4213101113301031331
51142324321442332
631212121103221
73021642525346
oct472127611575
9130751316604
1042167374717
1116979424816
128209927b11
133c90100000
1420803950cd
15116be0be47
hex9d15f137d

42167374717 has 18 divisors (see below), whose sum is σ = 45817268238. Its totient is φ = 38808229824.

The previous prime is 42167374693. The next prime is 42167374727. The reversal of 42167374717 is 71747376124.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 19491231321 + 22676143396 = 139611^2 + 150586^2 .

It is not a de Polignac number, because 42167374717 - 235 = 7807636349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42167374727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125125573 + ... + 125125909.

It is an arithmetic number, because the mean of its divisors is an integer number (2545403791).

Almost surely, 242167374717 is an apocalyptic number.

It is an amenable number.

42167374717 is a deficient number, since it is larger than the sum of its proper divisors (3649893521).

42167374717 is an frugal number, since it uses more digits than its factorization.

42167374717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 350 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 49.

The spelling of 42167374717 in words is "forty-two billion, one hundred sixty-seven million, three hundred seventy-four thousand, seven hundred seventeen".

Divisors: 1 13 169 337 2197 4381 28561 56953 113569 371293 740389 1476397 9625057 19193161 125125741 249511093 3243644209 42167374717