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5010288960 = 263517218059
BaseRepresentation
bin1001010101010001…
…01111000101000000
3110221011202001100210
410222220233011000
540230113221320
62145055514120
7235105516305
oct45250570500
913834661323
105010288960
1121411a5286
12b79b28940
1361b021b31
143575bd0ac
151e4cda0e0
hex12aa2f140

5010288960 has 168 divisors, whose sum is σ = 16899392160. Its totient is φ = 1257414656.

The previous prime is 5010288949. The next prime is 5010288967. The reversal of 5010288960 is 698820105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010288967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268411 + ... + 286469.

It is an arithmetic number, because the mean of its divisors is an integer number (100591620).

Almost surely, 25010288960 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 5010288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449696080).

5010288960 is an abundant number, since it is smaller than the sum of its proper divisors (11889103200).

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

5010288960 is a wasteful number, since it uses less digits than its factorization.

5010288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18113 (or 18086 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 5010288960 is about 70783.3946628727. The cubic root of 5010288960 is about 1711.1480679911.

The spelling of 5010288960 in words is "five billion, ten million, two hundred eighty-eight thousand, nine hundred sixty".