Search a number
-
+
5996440128 = 263719432127
BaseRepresentation
bin1011001010110101…
…00110101001000000
3120110220100201110010
411211122212221000
544240042041003
62431004304520
7301411620510
oct54532465100
916426321403
105996440128
1125a791a248
1211b4242140
13747420633
1440c563840
15251683003
hex1656a6a40

5996440128 has 336 divisors, whose sum is σ = 19694469120. Its totient is φ = 1572867072.

The previous prime is 5996440111. The next prime is 5996440129. The reversal of 5996440128 is 8210446995.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5996440129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47216001 + ... + 47216127.

Almost surely, 25996440128 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 5996440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847234560).

5996440128 is an abundant number, since it is smaller than the sum of its proper divisors (13698028992).

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

5996440128 is a wasteful number, since it uses less digits than its factorization.

5996440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 5996440128 is about 77436.6846397752. The cubic root of 5996440128 is about 1816.7611485842.

The spelling of 5996440128 in words is "five billion, nine hundred ninety-six million, four hundred forty thousand, one hundred twenty-eight".