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5022024000 = 263537167179
BaseRepresentation
bin1001010110101011…
…00000000101000000
3110221222211020210220
410223111200011000
540241114232000
62150155223040
7235310333250
oct45325400500
913858736726
105022024000
11214788aa64
12b81a47a80
136205a0346
14358d95960
151e5d571a0
hex12b560140

5022024000 has 448 divisors, whose sum is σ = 19171676160. Its totient is φ = 1134643200.

The previous prime is 5022023953. The next prime is 5022024013. The reversal of 5022024000 is 4202205.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28055911 + ... + 28056089.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 25022024000 is an apocalyptic number.

5022024000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5022024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585838080).

5022024000 is an abundant number, since it is smaller than the sum of its proper divisors (14149652160).

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

5022024000 is a wasteful number, since it uses less digits than its factorization.

5022024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5022024000 is about 70866.2401994067. The cubic root of 5022024000 is about 1712.4829699765.

Adding to 5022024000 its reverse (4202205), we get a palindrome (5026226205).

The spelling of 5022024000 in words is "five billion, twenty-two million, twenty-four thousand".