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6645538080 = 253451812833
BaseRepresentation
bin1100011000001101…
…01101110100100000
3122011010202022110000
412030012231310200
5102102224204310
63015232540000
7323453066406
oct61406556440
918133668400
106645538080
112900262135
1213556b1600
1381ba49b6c
1447084b476
1528d64d4c0
hex18c1add20

6645538080 has 240 divisors, whose sum is σ = 23591111544. Its totient is φ = 1761730560.

The previous prime is 6645538057. The next prime is 6645538091. The reversal of 6645538080 is 808355466.

It can be written as a sum of positive squares in 4 ways, for example, as 2842595856 + 3802942224 = 53316^2 + 61668^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2344344 + ... + 2347176.

Almost surely, 26645538080 is an apocalyptic number.

6645538080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6645538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795555772).

6645538080 is an abundant number, since it is smaller than the sum of its proper divisors (16945573464).

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

6645538080 is a wasteful number, since it uses less digits than its factorization.

6645538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6645538080 is about 81520.1697741117. The cubic root of 6645538080 is about 1880.0816774534.

The spelling of 6645538080 in words is "six billion, six hundred forty-five million, five hundred thirty-eight thousand, eighty".