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5312464300 = 22521113217412
BaseRepresentation
bin1001111001010010…
…11100010110101100
3111201020100011000001
410330221130112230
541334442324200
62235052314044
7245435126053
oct47451342654
914636304001
105312464300
112286825070
121043172924
13668801b00
1438579b39a
152115c876a
hex13ca5c5ac

5312464300 has 324 divisors, whose sum is σ = 14779163448. Its totient is φ = 1637376000.

The previous prime is 5312464291. The next prime is 5312464303. The reversal of 5312464300 is 34642135.

It is not an unprimeable number, because it can be changed into a prime (5312464303) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 129572280 + ... + 129572320.

It is an arithmetic number, because the mean of its divisors is an integer number (45614702).

Almost surely, 25312464300 is an apocalyptic number.

5312464300 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 5312464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389581724).

5312464300 is an abundant number, since it is smaller than the sum of its proper divisors (9466699148).

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

5312464300 is a wasteful number, since it uses less digits than its factorization.

5312464300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5312464300 is about 72886.6537851752. The cubic root of 5312464300 is about 1744.8791031805.

The spelling of 5312464300 in words is "five billion, three hundred twelve million, four hundred sixty-four thousand, three hundred".