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705368171421 = 323718011176137
BaseRepresentation
bin10100100001110110011…
…10000010001110011101
32111102200022122202112200
422100323032002032131
543024043222441141
61300012555522113
7101650452350034
oct12207316021635
92442608582480
10705368171421
11252165a42301
12b4856459339
1351692674a34
14261d624371b
15135354d6ab6
hexa43b38239d

705368171421 has 24 divisors (see below), whose sum is σ = 1046983933944. Its totient is φ = 457281676800.

The previous prime is 705368171413. The next prime is 705368171429. The reversal of 705368171421 is 124171863507.

705368171421 is a `hidden beast` number, since 7 + 0 + 53 + 6 + 8 + 171 + 421 = 666.

It is an interprime number because it is at equal distance from previous prime (705368171413) and next prime (705368171429).

It can be written as a sum of positive squares in 4 ways, for example, as 29536203321 + 675831968100 = 171861^2 + 822090^2 .

It is not a de Polignac number, because 705368171421 - 23 = 705368171413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705368171429) 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 23 ways as a sum of consecutive naturals, for example, 11665 + ... + 1187801.

It is an arithmetic number, because the mean of its divisors is an integer number (43624330581).

Almost surely, 2705368171421 is an apocalyptic number.

It is an amenable number.

705368171421 is a deficient number, since it is larger than the sum of its proper divisors (341615762523).

705368171421 is a wasteful number, since it uses less digits than its factorization.

705368171421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177981 (or 1177978 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 705368171421 in words is "seven hundred five billion, three hundred sixty-eight million, one hundred seventy-one thousand, four hundred twenty-one".

Divisors: 1 3 9 37 111 333 1801 5403 16209 66637 199911 599733 1176137 3528411 10585233 43517069 130551207 391653621 2118222737 6354668211 19064004633 78374241269 235122723807 705368171421