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5716569664 = 261327272
BaseRepresentation
bin1010101001011101…
…11110111001000000
3112202101201211100101
411110232332321000
543201420212124
62343125532144
7261443016601
oct52456767100
915671654311
105716569664
112473944443
121136574054
1370144cc00
143c330dda8
15236ced644
hex154bbee40

5716569664 has 63 divisors (see below), whose sum is σ = 12300461937. Its totient is φ = 2634787584.

The previous prime is 5716569647. The next prime is 5716569673. The reversal of 5716569664 is 4669656175.

The square root of 5716569664 is 75608.

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., 845646400 + 4870923264 = 29080^2 + 69792^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 7862869 + ... + 7863595.

Almost surely, 25716569664 is an apocalyptic number.

5716569664 is the 75608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5716569664

5716569664 is an abundant number, since it is smaller than the sum of its proper divisors (6583892273).

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

5716569664 is an frugal number, since it uses more digits than its factorization.

5716569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 742 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The cubic root of 5716569664 is about 1788.0452287171.

The spelling of 5716569664 in words is "five billion, seven hundred sixteen million, five hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 727 832 1352 1454 2704 2908 5408 5816 9451 10816 11632 18902 23264 37804 46528 75608 122863 151216 245726 302432 491452 528529 604864 982904 1057058 1965808 2114116 3931616 4228232 6870877 7863232 8456464 13741754 16912928 27483508 33825856 54967016 89321401 109934032 178642802 219868064 357285604 439736128 714571208 1429142416 2858284832 5716569664