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5309148000 = 253531334033
BaseRepresentation
bin1001111000111001…
…10010101101100000
3111201000002122220010
410330130302231200
541333120214000
62234453244520
7245365004412
oct47434625540
914630078803
105309148000
11228496a522
121042033740
13667c104c0
143851769b2
15211170d50
hex13c732b60

5309148000 has 192 divisors, whose sum is σ = 18731224512. Its totient is φ = 1306828800.

The previous prime is 5309147971. The next prime is 5309148007. The reversal of 5309148000 is 8419035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309148007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138984 + ... + 173016.

It is an arithmetic number, because the mean of its divisors is an integer number (97558461).

Almost surely, 25309148000 is an apocalyptic number.

5309148000 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 5309148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365612256).

5309148000 is an abundant number, since it is smaller than the sum of its proper divisors (13422076512).

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

5309148000 is a wasteful number, since it uses less digits than its factorization.

5309148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34074 (or 34056 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5309148000 is about 72863.9005269413. The cubic root of 5309148000 is about 1744.5159479829.

The spelling of 5309148000 in words is "five billion, three hundred nine million, one hundred forty-eight thousand".