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9889861384225 = 523728921912
BaseRepresentation
bin1000111111101010100110…
…1011001011100000100001
31022000110110102222212100201
42033322221223023200201
52244013414003243400
633011201204145201
72040342661510234
oct217725153134041
938013412885321
109889861384225
1131732a2a17919
12113887a698201
135697c1017364
1426295978541b
151223d0ab906a
hex8fea9acb821

9889861384225 has 81 divisors (see below), whose sum is σ = 12814125156651. Its totient is φ = 7571708179200.

The previous prime is 9889861384181. The next prime is 9889861384241. The reversal of 9889861384225 is 5224831689889.

The square root of 9889861384225 is 3144815.

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

9889861384225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 5128807207969 + 4761054176256 = 2264687^2 + 2181984^2 .

It is not a de Polignac number, because 9889861384225 - 27 = 9889861384097 is a prime.

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, 51779378880 + ... + 51779379070.

Almost surely, 29889861384225 is an apocalyptic number.

9889861384225 is the 3144815-th square number.

9889861384225 is the 1572408-th centered octagonal number.

It is an amenable number.

9889861384225 is a deficient number, since it is larger than the sum of its proper divisors (2924263772426).

9889861384225 is an frugal number, since it uses more digits than its factorization.

9889861384225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 73.

The spelling of 9889861384225 in words is "nine trillion, eight hundred eighty-nine billion, eight hundred sixty-one million, three hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 37 89 185 191 445 925 955 1369 2225 3293 4775 6845 7067 7921 16465 16999 34225 35335 36481 39605 82325 84995 121841 176675 182405 198025 261479 293077 424975 609205 628963 912025 1307395 1349797 1465385 1512911 3046025 3144815 3246809 6536975 6748985 7326925 7564555 10843849 15724075 16234045 23271631 33744925 37822775 49942489 54219245 55977707 81170225 116358155 120131933 249712445 271096225 279888535 288966001 581790775 600659665 1248562225 1399442675 1444830005 2071175159 3003298325 4444881521 7224150025 10355875795 10691742037 22224407605 51779378975 53458710185 111122038025 267293550925 395594455369 1977972276845 9889861384225