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9995000625 = 3254312432
BaseRepresentation
bin10010100111011111…
…11001101100110001
3221210120100122021100
421103233321230301
5130432210010000
64331443315013
7502454050341
oct112357715461
927716318240
109995000625
114269a0a9a5
121b2b37ba69
13c33959a6c
146ab620d21
153d7721a00
hex253bf9b31

9995000625 has 135 divisors (see below), whose sum is σ = 19085091597. Its totient is φ = 5038740000.

The previous prime is 9995000611. The next prime is 9995000663. The reversal of 9995000625 is 5260005999.

The square root of 9995000625 is 99975.

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

9995000625 is digitally balanced in base 3, 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 2 ways, for example, as 783608049 + 9211392576 = 27993^2 + 95976^2 .

It is not a de Polignac number, because 9995000625 - 25 = 9995000593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 232441854 + ... + 232441896.

Almost surely, 29995000625 is an apocalyptic number.

9995000625 is the 99975-th square number.

9995000625 is the 49988-th centered octagonal number.

It is an amenable number.

9995000625 is a deficient number, since it is larger than the sum of its proper divisors (9090090972).

9995000625 is an equidigital number, since it uses as much as digits as its factorization.

9995000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The cubic root of 9995000625 is about 2154.0756026205.

The spelling of 9995000625 in words is "nine billion, nine hundred ninety-five million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 31 43 45 75 93 125 129 155 215 225 279 375 387 465 625 645 775 961 1075 1125 1333 1395 1849 1875 1935 2325 2883 3225 3875 3999 4805 5375 5547 5625 6665 6975 8649 9245 9675 11625 11997 14415 16125 16641 19375 19995 24025 26875 27735 33325 34875 41323 43245 46225 48375 57319 58125 59985 72075 80625 83205 99975 120125 123969 138675 166625 171957 174375 206615 216225 231125 241875 286595 299925 360375 371907 416025 499875 515871 600625 619845 693375 833125 859785 1033075 1081125 1155625 1432975 1499625 1776889 1801875 1859535 2080125 2499375 2579355 3099225 3466875 4298925 5165375 5330667 5405625 7164875 7498125 8884445 9297675 10400625 12896775 15496125 15992001 21494625 25826875 26653335 35824375 44422225 46488375 64483875 77480625 79960005 107473125 133266675 222111125 232441875 322419375 399800025 666333375 1110555625 1999000125 3331666875 9995000625