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5009574240 = 2532511228751
BaseRepresentation
bin1001010101001100…
…00000100101100000
3110221010101201221200
410222212000211200
540224422333430
62145032321200
7235066451466
oct45246004540
913833351850
105009574240
112140857300
12b79843200
1361ab31718
14357474836
151e4be8460
hex12a980960

5009574240 has 216 divisors, whose sum is σ = 18791214624. Its totient is φ = 1214400000.

The previous prime is 5009574221. The next prime is 5009574259. The reversal of 5009574240 is 424759005.

It is an interprime number because it is at equal distance from previous prime (5009574221) and next prime (5009574259).

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

It is a junction number, because it is equal to n+sod(n) for n = 5009574195 and 5009574204.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 159865 + ... + 188615.

It is an arithmetic number, because the mean of its divisors is an integer number (86996364).

Almost surely, 25009574240 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 5009574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395607312).

5009574240 is an abundant number, since it is smaller than the sum of its proper divisors (13781640384).

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

5009574240 is a wasteful number, since it uses less digits than its factorization.

5009574240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28794 (or 28772 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5009574240 is about 70778.3458410833. The cubic root of 5009574240 is about 1711.0666987717.

The spelling of 5009574240 in words is "five billion, nine million, five hundred seventy-four thousand, two hundred forty".