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5164333200 = 243552136167
BaseRepresentation
bin1001100111101000…
…10111100010010000
3111022220121022100000
410303310113202100
541034032130300
62212241330000
7241656052005
oct46364274220
914286538300
105164333200
112210149a74
121001636900
13643c08780
1436dc3b8ac
152035b7c00
hex133d17890

5164333200 has 720 divisors, whose sum is σ = 20646831296. Its totient is φ = 1231718400.

The previous prime is 5164333193. The next prime is 5164333297. The reversal of 5164333200 is 23334615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77079567 + ... + 77079633.

Almost surely, 25164333200 is an apocalyptic number.

5164333200 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 5164333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10323415648).

5164333200 is an abundant number, since it is smaller than the sum of its proper divisors (15482498096).

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

5164333200 is a wasteful number, since it uses less digits than its factorization.

5164333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5164333200 is about 71863.2952208567. The cubic root of 5164333200 is about 1728.5080971134.

Adding to 5164333200 its reverse (23334615), we get a palindrome (5187667815).

The spelling of 5164333200 in words is "five billion, one hundred sixty-four million, three hundred thirty-three thousand, two hundred".