Search a number
-
+
6518992928 = 257220392
BaseRepresentation
bin1100001001000111…
…11111000000100000
3121211022122011010112
412010203333000200
5101322330233203
62554512350452
7320355345200
oct60443770040
917738564115
106518992928
11284588a968
12131b245428
137cb770a86
1445bb0a400
152824a36d8
hex1848ff020

6518992928 has 54 divisors (see below), whose sum is σ = 14936983551. Its totient is φ = 2792483904.

The previous prime is 6518992927. The next prime is 6518992933. The reversal of 6518992928 is 8292998156.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 3259496464 + 3259496464 = 57092^2 + 57092^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=57092.

It is not an unprimeable number, because it can be changed into a prime (6518992927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3196133 + ... + 3198171.

Almost surely, 26518992928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6518992928

6518992928 is an abundant number, since it is smaller than the sum of its proper divisors (8417990623).

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

6518992928 is an frugal number, since it uses more digits than its factorization.

6518992928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 2048 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 59.

The square root of 6518992928 is about 80740.2807030047. The cubic root of 6518992928 is about 1868.0715368612.

The spelling of 6518992928 in words is "six billion, five hundred eighteen million, nine hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2039 4078 8156 14273 16312 28546 32624 57092 65248 99911 114184 199822 228368 399644 456736 799288 1598576 3197152 4157521 8315042 16630084 29102647 33260168 58205294 66520336 116410588 133040672 203718529 232821176 407437058 465642352 814874116 931284704 1629748232 3259496464 6518992928