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5005350144 = 28322172461
BaseRepresentation
bin1001010100101011…
…11001010100000000
3110220211110010120200
410222111321110000
540222332201034
62144402005200
7235015526364
oct45225712400
913824403520
105005350144
112139431713
12b78346800
13619cb2b62
14356a952a4
151e4661a99
hex12a579500

5005350144 has 54 divisors (see below), whose sum is σ = 14431665066. Its totient is φ = 1668449280.

The previous prime is 5005350143. The next prime is 5005350169. The reversal of 5005350144 is 4410535005.

It can be written as a sum of positive squares in only one way, i.e., 3600000000 + 1405350144 = 60000^2 + 37488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005350143) 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 5 ways as a sum of consecutive naturals, for example, 1083927 + ... + 1088534.

Almost surely, 25005350144 is an apocalyptic number.

It is an amenable number.

5005350144 is an abundant number, since it is smaller than the sum of its proper divisors (9426314922).

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

5005350144 is a wasteful number, since it uses less digits than its factorization.

5005350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172483 (or 2172466 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5005350144 is about 70748.4992349661. The cubic root of 5005350144 is about 1710.5856371030.

Adding to 5005350144 its reverse (4410535005), we get a palindrome (9415885149).

The spelling of 5005350144 in words is "five billion, five million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2172461 4344922 6517383 8689844 13034766 17379688 19552149 26069532 34759376 39104298 52139064 69518752 78208596 104278128 139037504 156417192 208556256 278075008 312834384 417112512 556150016 625668768 834225024 1251337536 1668450048 2502675072 5005350144