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5008139136 = 27327111343101
BaseRepresentation
bin1001010101000001…
…00010001110000000
3110221000200211100200
410222200202032000
540224040423021
62144541445200
7235051323510
oct45240421600
913830624320
105008139136
11213aa67070
12b79270800
1361a74b450
143571bd840
151e4a13126
hex12a822380

5008139136 has 768 divisors, whose sum is σ = 19995655680. Its totient is φ = 1161216000.

The previous prime is 5008139131. The next prime is 5008139159. The reversal of 5008139136 is 6319318005.

It is a happy number.

5008139136 is a `hidden beast` number, since 500 + 8 + 13 + 9 + 136 = 666.

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 5008139136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008139131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49585486 + ... + 49585586.

It is an arithmetic number, because the mean of its divisors is an integer number (26036010).

Almost surely, 25008139136 is an apocalyptic number.

5008139136 is a gapful number since it is divisible by the number (56) 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 5008139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997827840).

5008139136 is an abundant number, since it is smaller than the sum of its proper divisors (14987516544).

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

5008139136 is a wasteful number, since it uses less digits than its factorization.

5008139136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5008139136 is about 70768.2070989509. The cubic root of 5008139136 is about 1710.9032921250.

The spelling of 5008139136 in words is "five billion, eight million, one hundred thirty-nine thousand, one hundred thirty-six".