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6464144144 = 24404009009
BaseRepresentation
bin1100000010100101…
…10000001100010000
3121200111102112202002
412001102300030100
5101214310103034
62545233013132
7316121214203
oct60122601420
917614375662
106464144144
112817928197
1213049b41a8
137c02a8683
1445470d93a
1527c76be7e
hex1814b0310

6464144144 has 10 divisors (see below), whose sum is σ = 12524279310. Its totient is φ = 3232072064.

The previous prime is 6464144131. The next prime is 6464144177. The reversal of 6464144144 is 4414414646.

It can be written as a sum of positive squares in only one way, i.e., 6066540544 + 397603600 = 77888^2 + 19940^2 .

6464144144 is a modest number, since divided by 144144 gives 6464 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 6464144098 and 6464144107.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202004489 + ... + 202004520.

It is an arithmetic number, because the mean of its divisors is an integer number (1252427931).

Almost surely, 26464144144 is an apocalyptic number.

It is an amenable number.

6464144144 is a deficient number, since it is larger than the sum of its proper divisors (6060135166).

6464144144 is a wasteful number, since it uses less digits than its factorization.

6464144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404009017 (or 404009011 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 6464144144 is about 80399.9013929744. The cubic root of 6464144144 is about 1862.8176495528.

The spelling of 6464144144 in words is "six billion, four hundred sixty-four million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 404009009 808018018 1616036036 3232072072 6464144144