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6004545696 = 253276127397
BaseRepresentation
bin1011001011110011…
…00001100010100000
3120111110121112012100
411211321201202200
544244130430241
62431454130400
7301540540062
oct54571414240
916443545170
106004545696
112601456066
1211b6ab0a00
13748ccab26
1440d673732
152522349b6
hex165e618a0

6004545696 has 72 divisors (see below), whose sum is σ = 17098489044. Its totient is φ = 1998812160.

The previous prime is 6004545667. The next prime is 6004545721. The reversal of 6004545696 is 6965454006.

6004545696 is a `hidden beast` number, since 60 + 0 + 454 + 56 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5619601296 + 384944400 = 74964^2 + 19620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205470 + ... + 232866.

Almost surely, 26004545696 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 6004545696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549244522).

6004545696 is an abundant number, since it is smaller than the sum of its proper divisors (11093943348).

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

6004545696 is a wasteful number, since it uses less digits than its factorization.

6004545696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28174 (or 28163 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 6004545696 is about 77489.0037102039. The cubic root of 6004545696 is about 1817.5793702043.

The spelling of 6004545696 in words is "six billion, four million, five hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 761 1522 2283 3044 4566 6088 6849 9132 12176 13698 18264 24352 27396 27397 36528 54792 54794 73056 82191 109584 109588 164382 219168 219176 246573 328764 438352 493146 657528 876704 986292 1315056 1972584 2630112 3945168 7890336 20849117 41698234 62547351 83396468 125094702 166792936 187642053 250189404 333585872 375284106 500378808 667171744 750568212 1000757616 1501136424 2001515232 3002272848 6004545696