Search a number
-
+
5019022944 = 2532137179239
BaseRepresentation
bin1001010110010100…
…00011011001100000
3110221210011210010200
410223022003121200
540234332213234
62150011025200
7235242663645
oct45312033140
913853153120
105019022944
112146120251
12b80a3b200
1361ca8c380
14358813dcc
151e5962d99
hex12b283660

5019022944 has 288 divisors, whose sum is σ = 15850598400. Its totient is φ = 1497000960.

The previous prime is 5019022933. The next prime is 5019022961. The reversal of 5019022944 is 4492209105.

5019022944 is a `hidden beast` number, since 501 + 90 + 2 + 29 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 5019022899 and 5019022908.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20999977 + ... + 21000215.

It is an arithmetic number, because the mean of its divisors is an integer number (55036800).

Almost surely, 25019022944 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 5019022944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

5019022944 is an abundant number, since it is smaller than the sum of its proper divisors (10831575456).

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

5019022944 is a wasteful number, since it uses less digits than its factorization.

5019022944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5019022944 is about 70845.0629472513. The cubic root of 5019022944 is about 1712.1417873951.

The spelling of 5019022944 in words is "five billion, nineteen million, twenty-two thousand, nine hundred forty-four".