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6483631441 = 72115032
BaseRepresentation
bin1100000100111010…
…00101110101010001
3121201212002121021211
412002131011311101
5101234302201231
62551210420121
7316445646400
oct60235056521
917655077254
106483631441
1128279282a1
12130b431641
137c433c611
14457143637
1527e31aeb1
hex182745d51

6483631441 has 9 divisors (see below), whose sum is σ = 7542839241. Its totient is φ = 5556915252.

The previous prime is 6483631409. The next prime is 6483631447. The reversal of 6483631441 is 1441363846.

The square root of 6483631441 is 80521.

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

It is not a de Polignac number, because 6483631441 - 25 = 6483631409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6483631394 and 6483631403.

It is not an unprimeable number, because it can be changed into a prime (6483631447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 557896 + ... + 569398.

It is an arithmetic number, because the mean of its divisors is an integer number (838093249).

Almost surely, 26483631441 is an apocalyptic number.

6483631441 is the 80521-st square number.

6483631441 is the 40261-st centered octagonal number.

It is an amenable number.

6483631441 is a deficient number, since it is larger than the sum of its proper divisors (1059207800).

6483631441 is an frugal number, since it uses more digits than its factorization.

6483631441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23020 (or 11510 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The cubic root of 6483631441 is about 1864.6877018546.

The spelling of 6483631441 in words is "six billion, four hundred eighty-three million, six hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 7 49 11503 80521 563647 132319009 926233063 6483631441