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6551048064 = 273112635897
BaseRepresentation
bin1100001100111100…
…10000111110000000
3121220112221201111210
412012132100332000
5101404032014224
63002015410120
7321224663331
oct60636207600
917815851453
106551048064
112861994410
121329b23940
138052b5302
14462092288
152851d6429
hex186790f80

6551048064 has 128 divisors (see below), whose sum is σ = 19058561280. Its totient is φ = 1977282560.

The previous prime is 6551048041. The next prime is 6551048069. The reversal of 6551048064 is 4608401556.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6551048069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107964 + ... + 1113860.

It is an arithmetic number, because the mean of its divisors is an integer number (148895010).

Almost surely, 26551048064 is an apocalyptic number.

6551048064 is a gapful number since it is divisible by the number (64) 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 6551048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9529280640).

6551048064 is an abundant number, since it is smaller than the sum of its proper divisors (12507513216).

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

6551048064 is a wasteful number, since it uses less digits than its factorization.

6551048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6188 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 6551048064 is about 80938.5449832155. The cubic root of 6551048064 is about 1871.1284203312.

The spelling of 6551048064 in words is "six billion, five hundred fifty-one million, forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 263 264 352 384 526 528 704 789 1052 1056 1408 1578 2104 2112 2893 3156 4208 4224 5786 5897 6312 8416 8679 11572 11794 12624 16832 17358 17691 23144 23588 25248 33664 34716 35382 46288 47176 50496 64867 69432 70764 92576 94352 100992 129734 138864 141528 185152 188704 194601 259468 277728 283056 370304 377408 389202 518936 555456 566112 754816 778404 1037872 1110912 1132224 1550911 1556808 2075744 2264448 3101822 3113616 4151488 4652733 6203644 6227232 8302976 9305466 12407288 12454464 17060021 18610932 24814576 24908928 34120042 37221864 49629152 51180063 68240084 74443728 99258304 102360126 136480168 148887456 198516608 204720252 272960336 297774912 409440504 545920672 595549824 818881008 1091841344 1637762016 2183682688 3275524032 6551048064