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5416862976 = 28327247981
BaseRepresentation
bin1010000101101111…
…01100010100000000
3111222111210011001200
411002313230110000
542043204103401
62253302101200
7251143401300
oct50267542400
914874704050
105416862976
11232a750368
12107211a800
13684325785
143955b5600
1521a84b686
hex142dec500

5416862976 has 162 divisors, whose sum is σ = 18168432282. Its totient is φ = 1547642880.

The previous prime is 5416862959. The next prime is 5416862977. The reversal of 5416862976 is 6792686145.

5416862976 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 8 + 629 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4075545600 + 1341317376 = 63840^2 + 36624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5416862977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88906 + ... + 136886.

Almost surely, 25416862976 is an apocalyptic number.

5416862976 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 5416862976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9084216141).

5416862976 is an abundant number, since it is smaller than the sum of its proper divisors (12751569306).

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

5416862976 is a wasteful number, since it uses less digits than its factorization.

5416862976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48017 (or 47993 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 5416862976 is about 73599.3408666137. The cubic root of 5416862976 is about 1756.2349541971.

The spelling of 5416862976 in words is "five billion, four hundred sixteen million, eight hundred sixty-two thousand, nine hundred seventy-six".