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5142787104 = 2537131374297
BaseRepresentation
bin1001100101000100…
…01011010000100000
3111021102001122122110
410302202023100200
541013023141404
62210151435320
7241304653260
oct46242132040
914242048573
105142787104
1121a9a73084
12bb6385b40
1363c6036c0
1436b02d7a0
1520175db89
hex13288b420

5142787104 has 192 divisors, whose sum is σ = 16740331776. Its totient is φ = 1346125824.

The previous prime is 5142787073. The next prime is 5142787151. The reversal of 5142787104 is 4017872415.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1194684 + ... + 1198980.

It is an arithmetic number, because the mean of its divisors is an integer number (87189228).

Almost surely, 25142787104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142787104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370165888).

5142787104 is an abundant number, since it is smaller than the sum of its proper divisors (11597544672).

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

5142787104 is a wasteful number, since it uses less digits than its factorization.

5142787104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 5142787104 is about 71713.2282358004. The cubic root of 5142787104 is about 1726.1009121922.

The spelling of 5142787104 in words is "five billion, one hundred forty-two million, seven hundred eighty-seven thousand, one hundred four".