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5025319488 = 263374110133
BaseRepresentation
bin1001010111000100…
…00100101001000000
3110222020000200101000
410223202010221000
540242440210423
62150354012000
7235350340140
oct45342045100
913866020330
105025319488
112149730a02
12b82b77000
13621185337
143595b2920
151e62a8843
hex12b884a40

5025319488 has 224 divisors, whose sum is σ = 17297521920. Its totient is φ = 1400647680.

The previous prime is 5025319471. The next prime is 5025319501. The reversal of 5025319488 is 8849135205.

5025319488 is a `hidden beast` number, since 502 + 53 + 1 + 94 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 490870 + ... + 501002.

It is an arithmetic number, because the mean of its divisors is an integer number (77221080).

Almost surely, 25025319488 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 5025319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648760960).

5025319488 is an abundant number, since it is smaller than the sum of its proper divisors (12272202432).

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

5025319488 is a wasteful number, since it uses less digits than its factorization.

5025319488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5025319488 is about 70889.4878525723. The cubic root of 5025319488 is about 1712.8574692553.

The spelling of 5025319488 in words is "five billion, twenty-five million, three hundred nineteen thousand, four hundred eighty-eight".