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9478493664 = 253136772227
BaseRepresentation
bin10001101001111011…
…00101010111100000
3220110120110100220220
420310331211113200
5123402443244124
64204313003040
7453612603213
oct106475452740
926416410826
109478493664
1140243a9642
121a063b3480
13b80945443
1465cbad77a
153a71e7879
hex234f655e0

9478493664 has 48 divisors (see below), whose sum is σ = 24899591808. Its totient is φ = 3157142912.

The previous prime is 9478493641. The next prime is 9478493669. The reversal of 9478493664 is 4663948749.

It is a happy number.

9478493664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 9478493598 and 9478493607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9478493669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95119 + ... + 167345.

It is an arithmetic number, because the mean of its divisors is an integer number (518741496).

Almost surely, 29478493664 is an apocalyptic number.

It is an amenable number.

9478493664 is an abundant number, since it is smaller than the sum of its proper divisors (15421098144).

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

9478493664 is a wasteful number, since it uses less digits than its factorization.

9478493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73607 (or 73599 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 60.

The square root of 9478493664 is about 97357.5557622520. Note that the first 3 decimals coincide. The cubic root of 9478493664 is about 2116.3123908220.

The spelling of 9478493664 in words is "nine billion, four hundred seventy-eight million, four hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1367 2734 4101 5468 8202 10936 16404 21872 32808 43744 65616 72227 131232 144454 216681 288908 433362 577816 866724 1155632 1733448 2311264 3466896 6933792 98734309 197468618 296202927 394937236 592405854 789874472 1184811708 1579748944 2369623416 3159497888 4739246832 9478493664