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5323147200 = 263352729607
BaseRepresentation
bin1001111010100100…
…01100011111000000
3111201222102220012000
410331102030133000
541400211202300
62240113304000
7245625001410
oct47522143700
914658386160
105323147200
112291861308
121046865000
1366aaa2457
14386d7c640
152124d8c00
hex13d48c7c0

5323147200 has 672 divisors, whose sum is σ = 22979481600. Its totient is φ = 1172828160.

The previous prime is 5323147189. The next prime is 5323147213. The reversal of 5323147200 is 27413235.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×53231472002 = 56671792225735680000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 8769297 + ... + 8769903.

Almost surely, 25323147200 is an apocalyptic number.

5323147200 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 5323147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489740800).

5323147200 is an abundant number, since it is smaller than the sum of its proper divisors (17656334400).

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

5323147200 is a wasteful number, since it uses less digits than its factorization.

5323147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5323147200 is about 72959.9013157227. The cubic root of 5323147200 is about 1746.0479197061.

The spelling of 5323147200 in words is "five billion, three hundred twenty-three million, one hundred forty-seven thousand, two hundred".