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5808832663104 = 263223324312
BaseRepresentation
bin101010010000111100101…
…1010000100111001000000
3202120022121112110122100100
41110201321122010321000
51230132442130204404
620204312455322400
71136450200650432
oct124417132047100
922508545418310
105808832663104
11193a56a669829
1279995a380400
13331a02c31ac3
14161212c04652
15a117b188d39
hex54879684e40

5808832663104 has 189 divisors, whose sum is σ = 16760623350289. Its totient is φ = 1923494108160.

The previous prime is 5808832663091. The next prime is 5808832663133. The reversal of 5808832663104 is 4013662388085.

The square root of 5808832663104 is 2410152.

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

5808832663104 is a `hidden beast` number, since 5 + 80 + 88 + 326 + 63 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1179656654400 + 4629176008704 = 1086120^2 + 2151552^2 .

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 26 ways as a sum of consecutive naturals, for example, 13477569769 + ... + 13477570199.

Almost surely, 25808832663104 is an apocalyptic number.

5808832663104 is the 2410152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5808832663104

5808832663104 is an abundant number, since it is smaller than the sum of its proper divisors (10951790687185).

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

5808832663104 is an frugal number, since it uses more digits than its factorization.

5808832663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

It can be divided in two parts, 5808832 and 663104, that added together give a square (6471936 = 25442).

The spelling of 5808832663104 in words is "five trillion, eight hundred eight billion, eight hundred thirty-two million, six hundred sixty-three thousand, one hundred four".