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5064471360 = 26325131773109
BaseRepresentation
bin1001011011101110…
…11011001101000000
3111001221200210122100
410231313123031000
540333001040420
62154313110400
7236334203424
oct45567331500
914057623570
105064471360
112169842323
12b940b8400
13629312b20
14360884b84
151e993e190
hex12dddb340

5064471360 has 672 divisors, whose sum is σ = 20319979680. Its totient is φ = 1146617856.

The previous prime is 5064471301. The next prime is 5064471383. The reversal of 5064471360 is 631744605.

It is a happy number.

5064471360 is a `hidden beast` number, since 5 + 0 + 644 + 7 + 1 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 683090496 + 4381380864 = 26136^2 + 66192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 46462986 + ... + 46463094.

It is an arithmetic number, because the mean of its divisors is an integer number (30238065).

Almost surely, 25064471360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5064471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159989840).

5064471360 is an abundant number, since it is smaller than the sum of its proper divisors (15255508320).

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

5064471360 is a wasteful number, since it uses less digits than its factorization.

5064471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5064471360 is about 71165.0993113900. The cubic root of 5064471360 is about 1717.2942133131.

The spelling of 5064471360 in words is "five billion, sixty-four million, four hundred seventy-one thousand, three hundred sixty".