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5064853248 = 283273131729
BaseRepresentation
bin1001011011110001…
…11000011100000000
3111001222102012111100
410231320320130000
540333100300443
62154325214400
7236340354000
oct45570703400
914058365440
105064853248
112169a83234
12b94261400
136294178b0
14360944000
151e99b73d3
hex12de38700

5064853248 has 864 divisors, whose sum is σ = 20088432000. Its totient is φ = 1213857792.

The previous prime is 5064853243. The next prime is 5064853249. The reversal of 5064853248 is 8423584605.

5064853248 is a `hidden beast` number, since 50 + 64 + 8 + 532 + 4 + 8 = 666.

It is a super-2 number, since 2×50648532482 = 51305476847552299008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5064853243) 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, 174650098 + ... + 174650126.

It is an arithmetic number, because the mean of its divisors is an integer number (23250500).

Almost surely, 25064853248 is an apocalyptic number.

5064853248 is a gapful number since it is divisible by the number (58) 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 5064853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044216000).

5064853248 is an abundant number, since it is smaller than the sum of its proper divisors (15023578752).

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

5064853248 is a wasteful number, since it uses less digits than its factorization.

5064853248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5064853248 is about 71167.7823737680. The cubic root of 5064853248 is about 1717.3373765920.

The spelling of 5064853248 in words is "five billion, sixty-four million, eight hundred fifty-three thousand, two hundred forty-eight".