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5063957136 = 243372317717
BaseRepresentation
bin1001011011101010…
…11101101010010000
3111001220201200021000
410231311131222100
540332333112021
62154254102000
7236326632300
oct45565355220
914056650230
105063957136
112169520a47
12b93aaa900
13629192a54
1436078d600
151e988bb26
hex12dd5da90

5063957136 has 240 divisors, whose sum is σ = 17456263680. Its totient is φ = 1399991040.

The previous prime is 5063957131. The next prime is 5063957141. The reversal of 5063957136 is 6317593605.

5063957136 is a `hidden beast` number, since 5 + 0 + 639 + 5 + 7 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5063957131) and next prime (5063957141).

It is a junction number, because it is equal to n+sod(n) for n = 5063957091 and 5063957100.

It is not an unprimeable number, because it can be changed into a prime (5063957131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652350 + ... + 660066.

It is an arithmetic number, because the mean of its divisors is an integer number (72734432).

Almost surely, 25063957136 is an apocalyptic number.

5063957136 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 5063957136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728131840).

5063957136 is an abundant number, since it is smaller than the sum of its proper divisors (12392306544).

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

5063957136 is a wasteful number, since it uses less digits than its factorization.

5063957136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5063957136 is about 71161.4863251183. The cubic root of 5063957136 is about 1717.2360891954.

The spelling of 5063957136 in words is "five billion, sixty-three million, nine hundred fifty-seven thousand, one hundred thirty-six".