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9488318464 = 2147612
BaseRepresentation
bin10001101011000110…
…00100000000000000
3220111020221112000101
420311203010000000
5123413002142324
64205303332144
7454062243022
oct106543040000
926436845011
109488318464
1140299aa109
121a09751054
13b829a5331
1466020a012
153a7ed8944
hex2358c4000

9488318464 has 45 divisors (see below), whose sum is σ = 19001026261. Its totient is φ = 4737925120.

The previous prime is 9488318449. The next prime is 9488318473. The reversal of 9488318464 is 4648138849.

It is a happy number.

The square root of 9488318464 is 97408.

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

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 9463398400 = 4992^2 + 97280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12467844 + ... + 12468604.

Almost surely, 29488318464 is an apocalyptic number.

9488318464 is the 97408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9488318464

9488318464 is an abundant number, since it is smaller than the sum of its proper divisors (9512707797).

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

9488318464 is an frugal number, since it uses more digits than its factorization.

9488318464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 763 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 55.

The cubic root of 9488318464 is about 2117.0433496587.

The spelling of 9488318464 in words is "nine billion, four hundred eighty-eight million, three hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 761 1024 1522 2048 3044 4096 6088 8192 12176 16384 24352 48704 97408 194816 389632 579121 779264 1158242 1558528 2316484 3117056 4632968 6234112 9265936 12468224 18531872 37063744 74127488 148254976 296509952 593019904 1186039808 2372079616 4744159232 9488318464