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6641435025 = 345218112
BaseRepresentation
bin1100010111101110…
…00100000110010001
3122010212000212010000
412023313010012101
5102100201410100
63015005000213
7323403160221
oct61367040621
918125025100
106641435025
1128a8a0a485
121354253069
1381ac41414
144700a0081
1528d0dc900
hex18bdc4191

6641435025 has 45 divisors (see below), whose sum is σ = 12309030283. Its totient is φ = 3540142800.

The previous prime is 6641434997. The next prime is 6641435027. The reversal of 6641435025 is 5205341466.

The square root of 6641435025 is 81495.

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

6641435025 is a `hidden beast` number, since 6 + 6 + 4 + 143 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2390916609 + 4250518416 = 48897^2 + 65196^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 6641435025 - 225 = 6607880593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6641435027) 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, 3666370 + ... + 3668180.

Almost surely, 26641435025 is an apocalyptic number.

6641435025 is the 81495-th square number.

6641435025 is the 40748-th centered octagonal number.

It is an amenable number.

6641435025 is a deficient number, since it is larger than the sum of its proper divisors (5667595258).

6641435025 is an frugal number, since it uses more digits than its factorization.

6641435025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 6641435025 is about 1879.6946675742.

Multiplying 6641435025 by its sum of digits (36), we get a square (239091660900 = 4889702).

The spelling of 6641435025 in words is "six billion, six hundred forty-one million, four hundred thirty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1811 2025 5433 9055 16299 27165 45275 48897 81495 135825 146691 244485 407475 733455 1222425 3279721 3667275 9839163 16398605 29517489 49195815 81993025 88552467 147587445 245979075 265657401 442762335 737937225 1328287005 2213811675 6641435025