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10889966025 = 36527732
BaseRepresentation
bin10100010010001011…
…11011000111001001
31001002221101121000000
422021011323013021
5134300312403100
65000333433213
7533602120041
oct121105730711
931087347000
1010889966025
114689113724
12213b03b809
1310471ac9a3
1475442a721
1543b0a6900
hex28917b1c9

10889966025 has 63 divisors (see below), whose sum is σ = 20272300549. Its totient is φ = 5800468320.

The previous prime is 10889966023. The next prime is 10889966047. The reversal of 10889966025 is 52066998801.

It is a happy number.

The square root of 10889966025 is 104355.

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 4223570121 + 6666395904 = 64989^2 + 81648^2 .

It is not a de Polignac number, because 10889966025 - 21 = 10889966023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10889966023) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14087539 + ... + 14088311.

Almost surely, 210889966025 is an apocalyptic number.

10889966025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10889966025 is the 104355-th square number.

10889966025 is the 52178-th centered octagonal number.

It is an amenable number.

10889966025 is a deficient number, since it is larger than the sum of its proper divisors (9382334524).

10889966025 is an frugal number, since it uses more digits than its factorization.

10889966025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10889966025 in words is "ten billion, eight hundred eighty-nine million, nine hundred sixty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 773 1215 2025 2319 3645 3865 6075 6957 11595 18225 19325 20871 34785 57975 62613 104355 173925 187839 313065 521775 563517 597529 939195 1565325 1792587 2817585 2987645 4695975 5377761 8962935 14087925 14938225 16133283 26888805 44814675 48399849 80666415 134444025 145199547 241999245 403332075 435598641 725997735 1209996225 2177993205 3629988675 10889966025