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5011790436 = 2238192232
BaseRepresentation
bin1001010101011100…
…11101101001100100
3110221021120100000000
410222232131221210
540231004243221
62145152021300
7235124341632
oct45256355144
913837510000
105011790436
112142030374
12b7a531830
1361b429393
14357890352
151e4ed4e26
hex12ab9da64

5011790436 has 243 divisors, whose sum is σ = 14514008691. Its totient is φ = 1513858896.

The previous prime is 5011790389. The next prime is 5011790447. The reversal of 5011790436 is 6340971105.

The square root of 5011790436 is 70794.

It is a perfect power (a square), and thus also a powerful number.

5011790436 is a `hidden beast` number, since 50 + 1 + 179 + 0 + 436 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5011790436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 217903921 + ... + 217903943.

Almost surely, 25011790436 is an apocalyptic number.

5011790436 is the 70794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5011790436

5011790436 is an abundant number, since it is smaller than the sum of its proper divisors (9502218255).

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

5011790436 is an equidigital number, since it uses as much as digits as its factorization.

5011790436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 5011790436 is about 1711.3189823615.

Multiplying 5011790436 by its sum of digits (36), we get a square (180424455696 = 4247642).

5011790436 divided by its sum of digits (36) gives a square (139216401 = 117992).

The spelling of 5011790436 in words is "five billion, eleven million, seven hundred ninety thousand, four hundred thirty-six".