Search a number
-
+
5355990144 = 27327363689
BaseRepresentation
bin1001111110011110…
…11110110010000000
3111211021020111020100
410333033132302000
541432113141034
62243245242400
7246504110421
oct47717366200
914737214210
105355990144
1122a935373a
121055863400
1367483144b
1438b48b648
15215325099
hex13f3dec80

5355990144 has 96 divisors (see below), whose sum is σ = 15623793900. Its totient is φ = 1760845824.

The previous prime is 5355990127. The next prime is 5355990169. The reversal of 5355990144 is 4410995535.

5355990144 is a `hidden beast` number, since 5 + 3 + 559 + 90 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5340686400 + 15303744 = 73080^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5355990144.

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, 52252 + ... + 115940.

Almost surely, 25355990144 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 5355990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811896950).

5355990144 is an abundant number, since it is smaller than the sum of its proper divisors (10267803756).

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

5355990144 is a wasteful number, since it uses less digits than its factorization.

5355990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63782 (or 63767 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5355990144 is about 73184.6305176162. The cubic root of 5355990144 is about 1749.6315027103.

The spelling of 5355990144 in words is "five billion, three hundred fifty-five million, nine hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1152 1168 1314 1752 2336 2628 3504 4672 5256 7008 9344 10512 14016 21024 28032 42048 63689 84096 127378 191067 254756 382134 509512 573201 764268 1019024 1146402 1528536 2038048 2292804 3057072 4076096 4585608 4649297 6114144 8152192 9171216 9298594 12228288 13947891 18342432 18597188 24456576 27895782 36684864 37194376 41843673 55791564 73369728 74388752 83687346 111583128 148777504 167374692 223166256 297555008 334749384 446332512 595110016 669498768 892665024 1338997536 1785330048 2677995072 5355990144