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5010377792 = 267229371489
BaseRepresentation
bin1001010101010010…
…00100110001000000
3110221011220120012212
410222221010301000
540230124042132
62145101441252
7235106336300
oct45251046100
913834816185
105010377792
112141255aa2
12b79b70228
1361b0533b4
14357603600
151e4d065b2
hex12aa44c40

5010377792 has 168 divisors, whose sum is σ = 12296165400. Its totient is φ = 2015870976.

The previous prime is 5010377789. The next prime is 5010377831. The reversal of 5010377792 is 2977730105.

It can be written as a sum of positive squares in 4 ways, for example, as 1069551616 + 3940826176 = 32704^2 + 62776^2 .

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 23 ways as a sum of consecutive naturals, for example, 3364184 + ... + 3365672.

Almost surely, 25010377792 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 5010377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148082700).

5010377792 is an abundant number, since it is smaller than the sum of its proper divisors (7285787608).

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

5010377792 is a wasteful number, since it uses less digits than its factorization.

5010377792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 41.

The square root of 5010377792 is about 70784.0221518953. The cubic root of 5010377792 is about 1711.1581807682.

The spelling of 5010377792 in words is "five billion, ten million, three hundred seventy-seven thousand, seven hundred ninety-two".