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63033081813 = 3213538744289
BaseRepresentation
bin111010101101000100…
…000111111111010101
320000200212212022210200
4322231010013333111
52013042432104223
644542413411113
74361006232552
oct725504077725
9200625768720
1063033081813
1124806593349
1210271799a99
135c36c55360
14309d62ba29
15198db7da43
hexead107fd5

63033081813 has 12 divisors (see below), whose sum is σ = 98051460780. Its totient is φ = 38789588736.

The previous prime is 63033081757. The next prime is 63033081823. The reversal of 63033081813 is 31818033036.

63033081813 is a `hidden beast` number, since 630 + 3 + 3 + 0 + 8 + 1 + 8 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33063239889 + 29969841924 = 181833^2 + 173118^2 .

It is not a de Polignac number, because 63033081813 - 214 = 63033065429 is a prime.

It is a super-3 number, since 3×630330818133 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63033081823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269372028 + ... + 269372261.

It is an arithmetic number, because the mean of its divisors is an integer number (8170955065).

Almost surely, 263033081813 is an apocalyptic number.

It is an amenable number.

63033081813 is a deficient number, since it is larger than the sum of its proper divisors (35018378967).

63033081813 is a wasteful number, since it uses less digits than its factorization.

63033081813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538744308 (or 538744305 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 6303308 and 1813, that added together give a square (6305121 = 25112).

The spelling of 63033081813 in words is "sixty-three billion, thirty-three million, eighty-one thousand, eight hundred thirteen".

Divisors: 1 3 9 13 39 117 538744289 1616232867 4848698601 7003675757 21011027271 63033081813