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5364255456 = 25347595011
BaseRepresentation
bin1001111111011110…
…00000101011100000
3111211211210102010000
410333233000223200
541441222133311
62244142340000
7246634263510
oct47757005340
914754712100
105364255456
112302a8957a
12105858a600
13676466571
1438c5dd840
15215e09056
hex13fbc0ae0

5364255456 has 240 divisors, whose sum is σ = 18339108480. Its totient is φ = 1506366720.

The previous prime is 5364255439. The next prime is 5364255467. The reversal of 5364255456 is 6545524635.

5364255456 is a `hidden beast` number, since 5 + 3 + 6 + 42 + 554 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1067991 + ... + 1073001.

It is an arithmetic number, because the mean of its divisors is an integer number (76412952).

Almost surely, 25364255456 is an apocalyptic number.

5364255456 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 5364255456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169554240).

5364255456 is an abundant number, since it is smaller than the sum of its proper divisors (12974853024).

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

5364255456 is a wasteful number, since it uses less digits than its factorization.

5364255456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5082 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The square root of 5364255456 is about 73241.0776545512. The cubic root of 5364255456 is about 1750.5310449311.

The spelling of 5364255456 in words is "five billion, three hundred sixty-four million, two hundred fifty-five thousand, four hundred fifty-six".