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42004116505 = 51323144719417
BaseRepresentation
bin100111000111101000…
…111111010000011001
311000102100011012111201
4213013220333100121
51142011023212010
631144005554201
73014621046031
oct470750772031
9130370135451
1042004116505
11168a525747a
128183115961
133c6533b510
1420668188c1
15115c90e23a
hex9c7a3f419

42004116505 has 32 divisors (see below), whose sum is σ = 56684404224. Its totient is φ = 29647766016.

The previous prime is 42004116493. The next prime is 42004116509. The reversal of 42004116505 is 50561140024.

It is a cyclic number.

It is not a de Polignac number, because 42004116505 - 27 = 42004116377 is a prime.

It is a super-2 number, since 2×420041165052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42004116509) 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, 2153557 + ... + 2172973.

It is an arithmetic number, because the mean of its divisors is an integer number (1771387632).

Almost surely, 242004116505 is an apocalyptic number.

It is an amenable number.

42004116505 is a deficient number, since it is larger than the sum of its proper divisors (14680287719).

42004116505 is a wasteful number, since it uses less digits than its factorization.

42004116505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20905.

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 42004116505 its reverse (50561140024), we get a palindrome (92565256529).

The spelling of 42004116505 in words is "forty-two billion, four million, one hundred sixteen thousand, five hundred five".

Divisors: 1 5 13 23 65 115 299 1447 1495 7235 18811 19417 33281 94055 97085 166405 252421 432653 446591 1262105 2163265 2232955 5805683 28096399 29028415 140481995 365253187 646217177 1826265935 3231085885 8400823301 42004116505