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5194387200 = 283521929491
BaseRepresentation
bin1001101011001110…
…00000111100000000
3111102000011012200010
410311213000330000
541114230342300
62215233424520
7242502364002
oct46547007400
914360135603
105194387200
112226106a92
12100b70b140
1364a1cc1c2
14373c22372
15206052a50
hex1359c0f00

5194387200 has 432 divisors, whose sum is σ = 18705052800. Its totient is φ = 1264435200.

The previous prime is 5194387157. The next prime is 5194387207. The reversal of 5194387200 is 27834915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5194387207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10578955 + ... + 10579445.

Almost surely, 25194387200 is an apocalyptic number.

5194387200 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 5194387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352526400).

5194387200 is an abundant number, since it is smaller than the sum of its proper divisors (13510665600).

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

5194387200 is a wasteful number, since it uses less digits than its factorization.

5194387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5194387200 is about 72072.0972360316. The cubic root of 5194387200 is about 1731.8546494981.

The spelling of 5194387200 in words is "five billion, one hundred ninety-four million, three hundred eighty-seven thousand, two hundred".