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5014182528 = 27352343163
BaseRepresentation
bin1001010101101111…
…00101101010000000
3110221110001212100000
410222313211222000
540232112320103
62145315200000
7235153563645
oct45267455200
913843055300
105014182528
112143414603
12b7b2a6000
1361ba86114
14357d13dcc
151e5308aa3
hex12ade5a80

5014182528 has 384 divisors, whose sum is σ = 16074938880. Its totient is φ = 1551965184.

The previous prime is 5014182527. The next prime is 5014182529. The reversal of 5014182528 is 8252814105.

5014182528 is a `hidden beast` number, since 50 + 1 + 4 + 1 + 82 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (5014182527) and next prime (5014182529).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 5014182492 and 5014182501.

It is not an unprimeable number, because it can be changed into a prime (5014182527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30761775 + ... + 30761937.

It is an arithmetic number, because the mean of its divisors is an integer number (41861820).

Almost surely, 25014182528 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 5014182528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037469440).

5014182528 is an abundant number, since it is smaller than the sum of its proper divisors (11060756352).

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

5014182528 is a wasteful number, since it uses less digits than its factorization.

5014182528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5014182528 is about 70810.8927213886. The cubic root of 5014182528 is about 1711.5912058570.

The spelling of 5014182528 in words is "five billion, fourteen million, one hundred eighty-two thousand, five hundred twenty-eight".