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3270397363776 = 2634251172
BaseRepresentation
bin101111100101110010110…
…111111000011001000000
3102120122110121121120110000
4233211302313320121000
5412040233211120101
610542222205240000
7455164331632524
oct57456267703100
912518417546400
103270397363776
111050a71064264
124499a9563000
131a95216c40ca
14b44066a9d84
155a10d11b486
hex2f972df8640

3270397363776 has 105 divisors (see below), whose sum is σ = 9694868297169. Its totient is φ = 1090089052416.

The previous prime is 3270397363769. The next prime is 3270397363777. The reversal of 3270397363776 is 6773637930723.

The square root of 3270397363776 is 1808424.

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

It can be written as a sum of positive squares in only one way, i.e., 1927987790400 + 1342409573376 = 1388520^2 + 1158624^2 .

It is not an unprimeable number, because it can be changed into a prime (3270397363777) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 130193970 + ... + 130219086.

Almost surely, 23270397363776 is an apocalyptic number.

3270397363776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3270397363776 is the 1808424-th square number.

It is an amenable number.

3270397363776 is an abundant number, since it is smaller than the sum of its proper divisors (6424470933393).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3270397363776 is an frugal number, since it uses more digits than its factorization.

3270397363776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50258 (or 25122 counting only the distinct ones).

The product of its (nonzero) digits is 126023688, while the sum is 63.

The spelling of 3270397363776 in words is "three trillion, two hundred seventy billion, three hundred ninety-seven million, three hundred sixty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 25117 50234 75351 100468 150702 200936 226053 301404 401872 452106 602808 678159 803744 904212 1205616 1356318 1607488 1808424 2034477 2411232 2712636 3616848 4068954 4822464 5425272 7233696 8137908 10850544 14467392 16275816 21701088 32551632 43402176 65103264 130206528 630863689 1261727378 1892591067 2523454756 3785182134 5046909512 5677773201 7570364268 10093819024 11355546402 15140728536 17033319603 20187638048 22711092804 30281457072 34066639206 40375276096 45422185608 51099958809 60562914144 68133278412 90844371216 102199917618 121125828288 136266556824 181688742432 204399835236 272533113648 363377484864 408799670472 545066227296 817599340944 1090132454592 1635198681888 3270397363776