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2671214328225 = 32521089592
BaseRepresentation
bin100110110111110000110…
…001111111100110100001
3100110100212112000121111100
4212313300301333212201
5322231121332000400
65403050001305013
7363663116105202
oct46676061774641
910410775017440
102671214328225
1193a9459391a3
12371848335169
13164b820a9321
1493404b295a9
154973ed77100
hex26df0c7f9a1

2671214328225 has 27 divisors (see below), whose sum is σ = 4784485574323. Its totient is φ = 1424634566640.

The previous prime is 2671214328109. The next prime is 2671214328239. The reversal of 2671214328225 is 5228234121762.

The square root of 2671214328225 is 1634385.

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

2671214328225 is a `hidden beast` number, since 26 + 71 + 2 + 14 + 328 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 961637158161 + 1709577170064 = 980631^2 + 1307508^2 .

It is not a de Polignac number, because 2671214328225 - 221 = 2671212231073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24461296 + ... + 24570254.

Almost surely, 22671214328225 is an apocalyptic number.

2671214328225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2671214328225 is the 1634385-th square number.

2671214328225 is the 817193-rd centered octagonal number.

It is an amenable number.

2671214328225 is a deficient number, since it is larger than the sum of its proper divisors (2113271246098).

2671214328225 is an frugal number, since it uses more digits than its factorization.

2671214328225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217934 (or 108967 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

Adding to 2671214328225 its reverse (5228234121762), we get a palindrome (7899448449987).

The spelling of 2671214328225 in words is "two trillion, six hundred seventy-one billion, two hundred fourteen million, three hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 108959 326877 544795 980631 1634385 2723975 4903155 8171925 24515775 11872063681 35616191043 59360318405 106848573129 178080955215 296801592025 534242865645 890404776075 2671214328225