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5064930000 = 24345413237
BaseRepresentation
bin1001011011110010…
…01011001011010000
3111001222120002210000
410231321023023100
540333110230000
62154331010000
7236341123524
oct45571131320
914058502700
105064930000
11216a025969
12b94299900
13629443800
14360963d84
151e99d0000
hex12de4b2d0

5064930000 has 750 divisors, whose sum is σ = 20371958574. Its totient is φ = 1213056000.

The previous prime is 5064929993. The next prime is 5064930041. The reversal of 5064930000 is 394605.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 5050092096 + 14837904 = 71064^2 + 3852^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 136889982 + ... + 136890018.

Almost surely, 25064930000 is an apocalyptic number.

5064930000 is a gapful number since it is divisible by the number (50) 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 5064930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10185979287).

5064930000 is an abundant number, since it is smaller than the sum of its proper divisors (15307028574).

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

5064930000 is a wasteful number, since it uses less digits than its factorization.

5064930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5064930000 is about 71168.3216044892. The cubic root of 5064930000 is about 1717.3460513029.

The spelling of 5064930000 in words is "five billion, sixty-four million, nine hundred thirty thousand".