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5059195200 = 263452103379
BaseRepresentation
bin1001011011000110…
…10011000101000000
3111001120202202010000
410231203103011000
540330123221300
62154004040000
7236241310143
oct45543230500
914046682100
105059195200
112166869264
12b92393000
136281b6437
1435dcb005a
151e924ac00
hex12d8d3140

5059195200 has 420 divisors, whose sum is σ = 18826419040. Its totient is φ = 1332495360.

The previous prime is 5059195199. The next prime is 5059195201. The reversal of 5059195200 is 25919505.

It is an interprime number because it is at equal distance from previous prime (5059195199) and next prime (5059195201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5059195201) 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 59 ways as a sum of consecutive naturals, for example, 13348611 + ... + 13348989.

Almost surely, 25059195200 is an apocalyptic number.

5059195200 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 5059195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9413209520).

5059195200 is an abundant number, since it is smaller than the sum of its proper divisors (13767223840).

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

5059195200 is a wasteful number, since it uses less digits than its factorization.

5059195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 5059195200 is about 71128.0197952959. The cubic root of 5059195200 is about 1716.6976477688.

The spelling of 5059195200 in words is "five billion, fifty-nine million, one hundred ninety-five thousand, two hundred".