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5184191040 = 263571922137
BaseRepresentation
bin1001101010000000…
…00111101001000000
3111101021222012011120
410311000013221000
541104123103130
62214231112240
7242316616410
oct46500075100
914337865146
105184191040
112220382506
121008212680
1364806c282
1437272a640
152051db910
hex135007a40

5184191040 has 336 divisors, whose sum is σ = 19862669952. Its totient is φ = 1122066432.

The previous prime is 5184191017. The next prime is 5184191063. The reversal of 5184191040 is 401914815.

It is an interprime number because it is at equal distance from previous prime (5184191017) and next prime (5184191063).

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 5184190992 and 5184191010.

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 47 ways as a sum of consecutive naturals, for example, 2424852 + ... + 2426988.

Almost surely, 25184191040 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 5184191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9931334976).

5184191040 is an abundant number, since it is smaller than the sum of its proper divisors (14678478912).

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

5184191040 is a wasteful number, since it uses less digits than its factorization.

5184191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 5184191040 is about 72001.3266544444. The cubic root of 5184191040 is about 1730.7207439347.

The spelling of 5184191040 in words is "five billion, one hundred eighty-four million, one hundred ninety-one thousand, forty".