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871406742105 = 32519364594269
BaseRepresentation
bin11001010111000111110…
…00111010101001011001
310002022020211112002020200
430223203320322221121
5103234120111221410
61504152502412413
7116646162044424
oct14534370725131
93068224462220
10871406742105
1130661a42aa49
12120a74431109
13642339934b3
1430267b269bb
1517a0217a3c0
hexcae3e3aa59

871406742105 has 12 divisors (see below), whose sum is σ = 1510438353060. Its totient is φ = 464750262432.

The previous prime is 871406742097. The next prime is 871406742119. The reversal of 871406742105 is 501247604178.

871406742105 is a `hidden beast` number, since 8 + 71 + 406 + 74 + 2 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 481251600729 + 390155141376 = 693723^2 + 624624^2 .

It is not a de Polignac number, because 871406742105 - 23 = 871406742097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 19364594269 = 871406742105 / (8 + 7 + 1 + 4 + 0 + 6 + 7 + 4 + 2 + 1 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9682297090 + ... + 9682297179.

It is an arithmetic number, because the mean of its divisors is an integer number (125869862755).

Almost surely, 2871406742105 is an apocalyptic number.

It is an amenable number.

871406742105 is a deficient number, since it is larger than the sum of its proper divisors (639031610955).

871406742105 is a wasteful number, since it uses less digits than its factorization.

871406742105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19364594280 (or 19364594277 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 871406742105 in words is "eight hundred seventy-one billion, four hundred six million, seven hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 45 19364594269 58093782807 96822971345 174281348421 290468914035 871406742105