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25441845025 = 52192232732
BaseRepresentation
bin10111101100011100…
…111011111100100001
32102200002022122020111
4113230130323330201
5404101103020100
615404323011321
71560321054202
oct275434737441
972602278214
1025441845025
11a876292803
124b20509b41
132525c3938c
141334d215a9
159dd89e6ba
hex5ec73bf21

25441845025 has 81 divisors (see below), whose sum is σ = 35289602649. Its totient is φ = 18191226240.

The previous prime is 25441845019. The next prime is 25441845041. The reversal of 25441845025 is 52054814452.

The square root of 25441845025 is 159505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 139216401 + 25302628624 = 11799^2 + 159068^2 .

It is a de Polignac number, because none of the positive numbers 2k-25441845025 is a prime.

It is a super-2 number, since 2×254418450252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 348518389 + ... + 348518461.

Almost surely, 225441845025 is an apocalyptic number.

25441845025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25441845025 is the 159505-th square number.

25441845025 is the 79753-rd centered octagonal number.

It is an amenable number.

25441845025 is a deficient number, since it is larger than the sum of its proper divisors (9847757624).

25441845025 is an equidigital number, since it uses as much as digits as its factorization.

25441845025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

The spelling of 25441845025 in words is "twenty-five billion, four hundred forty-one million, eight hundred forty-five thousand, twenty-five".

Divisors: 1 5 19 23 25 73 95 115 361 365 437 475 529 575 1387 1679 1805 1825 2185 2645 5329 6935 8303 8395 9025 10051 10925 13225 26353 26645 31901 34675 38617 41515 41975 50255 101251 122567 131765 133225 159505 190969 193085 207575 251275 506255 606119 612835 658825 733723 797525 954845 965425 1923769 2328773 2531275 2819041 3030595 3064175 3668615 4774225 9618845 11643865 13940737 14095205 15152975 18343075 44246687 48094225 53561779 58219325 69703685 70476025 221233435 267808895 348518425 1017673801 1106167175 1339044475 5088369005 25441845025