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5195382192 = 243272111319271
BaseRepresentation
bin1001101011010101…
…10011110110110000
3111102002000202112200
410311222303312300
541120004212232
62215311023200
7242514006600
oct46552636660
914362022480
105195382192
1122267265a0
12100bb0ab00
1364a48a060
14374000c00
1520619c77c
hex135ab3db0

5195382192 has 720 divisors, whose sum is σ = 20993656320. Its totient is φ = 1175731200.

The previous prime is 5195382169. The next prime is 5195382197. The reversal of 5195382192 is 2912835915.

5195382192 is a `hidden beast` number, since 5 + 1 + 9 + 538 + 21 + 92 = 666.

It is a super-2 number, since 2×51953821922 = 53983992241901449728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5195382197) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19171017 + ... + 19171287.

It is an arithmetic number, because the mean of its divisors is an integer number (29157856).

Almost surely, 25195382192 is an apocalyptic number.

5195382192 is a gapful number since it is divisible by the number (52) 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 5195382192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496828160).

5195382192 is an abundant number, since it is smaller than the sum of its proper divisors (15798274128).

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

5195382192 is a wasteful number, since it uses less digits than its factorization.

5195382192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 5195382192 is about 72078.9996600952. Note that the first 3 decimals coincide. The cubic root of 5195382192 is about 1731.9652221503.

The spelling of 5195382192 in words is "five billion, one hundred ninety-five million, three hundred eighty-two thousand, one hundred ninety-two".