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5332416300 = 223652193379
BaseRepresentation
bin1001111011101011…
…00011011100101100
3111202121212211000000
410331311203130230
541410044310200
62241044104300
7246066535131
oct47565433454
914677784000
105332416300
112297012322
121049995090
1366c999423
143882b2588
1521321a300
hex13dd6372c

5332416300 has 252 divisors, whose sum is σ = 17484983320. Its totient is φ = 1410877440.

The previous prime is 5332416281. The next prime is 5332416311. The reversal of 5332416300 is 36142335.

It is a happy number.

5332416300 is a `hidden beast` number, since 5 + 3 + 3 + 24 + 1 + 630 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14069511 + ... + 14069889.

Almost surely, 25332416300 is an apocalyptic number.

5332416300 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 5332416300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742491660).

5332416300 is an abundant number, since it is smaller than the sum of its proper divisors (12152567020).

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

5332416300 is a wasteful number, since it uses less digits than its factorization.

5332416300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 582 counting only the distinct ones).

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

The square root of 5332416300 is about 73023.3955660787. The cubic root of 5332416300 is about 1747.0607859320.

Adding to 5332416300 its reverse (36142335), we get a palindrome (5368558635).

The spelling of 5332416300 in words is "five billion, three hundred thirty-two million, four hundred sixteen thousand, three hundred".