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989835959025 = 3452221092
BaseRepresentation
bin11100110011101101101…
…00100001101011110001
310111121221100222122110000
432121312310201223301
5112204141001142100
62034420243500213
7131341025554344
oct16316664415361
93447840878400
10989835959025
11351872659531
1213ba06087669
1372458604504
1435ca05c245b
151ab342a3900
hexe676d21af1

989835959025 has 45 divisors (see below), whose sum is σ = 1833601296241. Its totient is φ = 527888633760.

The previous prime is 989835959023. The next prime is 989835959039. The reversal of 989835959025 is 520959538989.

The square root of 989835959025 is 994905.

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

989835959025 is a `hidden beast` number, since 9 + 8 + 9 + 8 + 3 + 5 + 9 + 590 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 291434783409 + 698401175616 = 539847^2 + 835704^2 .

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

It is not a de Polignac number, because 989835959025 - 21 = 989835959023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (989835959023) 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, 44759671 + ... + 44781779.

Almost surely, 2989835959025 is an apocalyptic number.

989835959025 is the 994905-th square number.

989835959025 is the 497453-rd centered octagonal number.

It is an amenable number.

989835959025 is a deficient number, since it is larger than the sum of its proper divisors (843765337216).

989835959025 is an frugal number, since it uses more digits than its factorization.

989835959025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44240 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 314928000, while the sum is 72.

The spelling of 989835959025 in words is "nine hundred eighty-nine billion, eight hundred thirty-five million, nine hundred fifty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 22109 66327 110545 198981 331635 552725 596943 994905 1658175 1790829 2984715 4974525 8954145 14923575 44770725 488807881 1466423643 2444039405 4399270929 7332118215 12220197025 13197812787 21996354645 36660591075 39593438361 65989063935 109981773225 197967191805 329945319675 989835959025