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42674438417 = 136777016917
BaseRepresentation
bin100111101111100110…
…000100000100010001
311002011001111002022012
4213233212010010101
51144344124012132
631334313152305
73040340512232
oct475746040421
9132131432265
1042674438417
1117109676226
12832b6bb695
1340411892c0
1420cb869089
15119b6bd0b2
hex9ef984111

42674438417 has 16 divisors (see below), whose sum is σ = 46097290512. Its totient is φ = 39271814400.

The previous prime is 42674438413. The next prime is 42674438419. The reversal of 42674438417 is 71483447624.

It can be written as a sum of positive squares in 8 ways, for example, as 7624607761 + 35049830656 = 87319^2 + 187216^2 .

It is not a de Polignac number, because 42674438417 - 22 = 42674438413 is a prime.

It is a super-2 number, since 2×426744384172 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42674438413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6166043 + ... + 6172959.

It is an arithmetic number, because the mean of its divisors is an integer number (2881080657).

Almost surely, 242674438417 is an apocalyptic number.

It is an amenable number.

42674438417 is a deficient number, since it is larger than the sum of its proper divisors (3422852095).

42674438417 is a wasteful number, since it uses less digits than its factorization.

42674438417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308.

The product of its digits is 3612672, while the sum is 50.

The spelling of 42674438417 in words is "forty-two billion, six hundred seventy-four million, four hundred thirty-eight thousand, four hundred seventeen".

Divisors: 1 13 677 701 6917 8801 9113 89921 474577 4682809 4848817 6169501 60876517 63034621 3282649109 42674438417