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5869009440 = 253357421461
BaseRepresentation
bin1010111011101000…
…11111101000100000
3120011000120120102000
411131310133220200
544004431300230
62410213124000
7265303520460
oct53564375040
916130516360
105869009440
1125419a2728
121179629600
13726bc4468
143d9671ba0
152453b0b60
hex15dd1fa20

5869009440 has 384 divisors, whose sum is σ = 23582845440. Its totient is φ = 1335398400.

The previous prime is 5869009439. The next prime is 5869009441. The reversal of 5869009440 is 449009685.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5869009439) and next prime (5869009441).

It is a super-2 number, since 2×58690094402 = 68890543613618227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5869009441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12730810 + ... + 12731270.

It is an arithmetic number, because the mean of its divisors is an integer number (61413660).

Almost surely, 25869009440 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 5869009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11791422720).

5869009440 is an abundant number, since it is smaller than the sum of its proper divisors (17713836000).

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

5869009440 is a wasteful number, since it uses less digits than its factorization.

5869009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5869009440 is about 76609.4605123936. The cubic root of 5869009440 is about 1803.7995296759.

The spelling of 5869009440 in words is "five billion, eight hundred sixty-nine million, nine thousand, four hundred forty".