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6479123049 = 327238332
BaseRepresentation
bin1100000100010111…
…11001001001101001
3121201112121112221100
412002023321021221
5101232123414144
62550530032013
7316362431400
oct60213711151
917645545840
106479123049
112825329053
121309a18609
137c3421529
144566cc637
1527dc2a269
hex1822f9269

6479123049 has 27 divisors (see below), whose sum is σ = 10889530743. Its totient is φ = 3701390112.

The previous prime is 6479123029. The next prime is 6479123089. The reversal of 6479123049 is 9403219746.

It is a happy number.

The square root of 6479123049 is 80493.

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., 1405125225 + 5073997824 = 37485^2 + 71232^2 .

It is not a de Polignac number, because 6479123049 - 25 = 6479123017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6479122995 and 6479123013.

It is not an unprimeable number, because it can be changed into a prime (6479123029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1688437 + ... + 1692269.

Almost surely, 26479123049 is an apocalyptic number.

6479123049 is the 80493-rd square number.

6479123049 is the 40247-th centered octagonal number.

It is an amenable number.

6479123049 is a deficient number, since it is larger than the sum of its proper divisors (4410407694).

6479123049 is an frugal number, since it uses more digits than its factorization.

6479123049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 6479123049 is about 1864.2553982148.

The spelling of 6479123049 in words is "six billion, four hundred seventy-nine million, one hundred twenty-three thousand, forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 3833 11499 26831 34497 80493 187817 241479 563451 1690353 14691889 44075667 102843223 132227001 308529669 719902561 925589007 2159707683 6479123049