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9995000664 = 2331141923411
BaseRepresentation
bin10010100111011111…
…11001101101011000
3221210120100122022210
421103233321231120
5130432210010124
64331443315120
7502454050425
oct112357715530
927716318283
109995000664
114269a0aa30
121b2b37baa0
13c33959a9c
146ab620d4c
153d7721a29
hex253bf9b58

9995000664 has 64 divisors (see below), whose sum is σ = 27923978880. Its totient is φ = 2954912000.

The previous prime is 9995000663. The next prime is 9995000677. The reversal of 9995000664 is 4660005999.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995000663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450882 + ... + 472529.

It is an arithmetic number, because the mean of its divisors is an integer number (436312170).

Almost surely, 29995000664 is an apocalyptic number.

It is an amenable number.

9995000664 is an abundant number, since it is smaller than the sum of its proper divisors (17928978216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9995000664 is a wasteful number, since it uses less digits than its factorization.

9995000664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923472 (or 923468 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 9995000664 is about 99975.0001950488. Note that the first 3 decimals coincide. The cubic root of 9995000664 is about 2154.0756054222.

The spelling of 9995000664 in words is "nine billion, nine hundred ninety-five million, six hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 923411 1846822 2770233 3693644 5540466 7387288 10157521 11080932 20315042 22161864 30472563 37859851 40630084 60945126 75719702 81260168 113579553 121890252 151439404 227159106 243780504 302878808 416458361 454318212 832916722 908636424 1249375083 1665833444 2498750166 3331666888 4997500332 9995000664