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2084734587321 = 3417294372
BaseRepresentation
bin11110010101100011110…
…111010101000110111001
321101022001201220212210000
4132111203313111012321
5233124014023243241
64233414105143213
7303421444420161
oct36254367250671
97338051825700
102084734587321
11734149364451
1229805148ab09
13121788549c39
1472c8a35b5a1
1539366e76eb6
hex1e563dd51b9

2084734587321 has 45 divisors (see below), whose sum is σ = 3308549820829. Its totient is φ = 1307930150016.

The previous prime is 2084734587319. The next prime is 2084734587347. The reversal of 2084734587321 is 1237854374802.

It is a happy number.

The square root of 2084734587321 is 1443861.

It is a perfect power (a square), and thus also a powerful number.

2084734587321 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 7 + 34 + 587 + 3 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266605962921 + 1818128624400 = 516339^2 + 1348380^2 .

It is not a de Polignac number, because 2084734587321 - 21 = 2084734587319 is a prime.

It is a super-2 number, since 2×20847345873212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2084734587121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 220906015 + ... + 220915451.

Almost surely, 22084734587321 is an apocalyptic number.

2084734587321 is the 1443861-st square number.

2084734587321 is the 721931-st centered octagonal number.

It is an amenable number.

2084734587321 is a deficient number, since it is larger than the sum of its proper divisors (1223815233508).

2084734587321 is an frugal number, since it uses more digits than its factorization.

2084734587321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18920 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2084734587321 in words is "two trillion, eighty-four billion, seven hundred thirty-four million, five hundred eighty-seven thousand, three hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 9437 23409 28311 84933 160429 254799 481287 764397 1443861 2727293 4331583 8181879 12994749 24545637 73636911 89056969 220910733 267170907 801512721 1513968473 2404538163 4541905419 7213614489 13625716257 25737464041 40877148771 77212392123 122631446313 231637176369 694911529107 2084734587321