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5909944040 = 23571113672203
BaseRepresentation
bin1011000000100001…
…01001011011101000
3120020212121021010022
411200100221123220
544100421202130
62414234340012
7266311460360
oct54020513350
916225537108
105909944040
112563011480
12118b28a608
13732527510
14400c899a0
15248c997e5
hex1604296e8

5909944040 has 256 divisors, whose sum is σ = 18128517120. Its totient is φ = 1674224640.

The previous prime is 5909944009. The next prime is 5909944049. The reversal of 5909944040 is 404499095.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5909943982 and 5909944000.

It is not an unprimeable number, because it can be changed into a prime (5909944049) 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 63 ways as a sum of consecutive naturals, for example, 2681579 + ... + 2683781.

It is an arithmetic number, because the mean of its divisors is an integer number (70814520).

Almost surely, 25909944040 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 5909944040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9064258560).

5909944040 is an abundant number, since it is smaller than the sum of its proper divisors (12218573080).

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

5909944040 is a wasteful number, since it uses less digits than its factorization.

5909944040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 5909944040 is about 76876.1604140061. The cubic root of 5909944040 is about 1807.9834730066.

It can be divided in two parts, 5909 and 944040, that added together give a palindrome (949949).

The spelling of 5909944040 in words is "five billion, nine hundred nine million, nine hundred forty-four thousand, forty".