Search a number
-
+
5509998648 = 233373116761
BaseRepresentation
bin1010010000110101…
…11110100000111000
3112020000000221012000
411020122332200320
542241024424043
62310430221000
7253354134000
oct51032764070
915200027160
105509998648
1123782835a0
121099354760
1369a704a3b
143a3adb000
15223ae72d3
hex1486be838

5509998648 has 256 divisors, whose sum is σ = 19474560000. Its totient is φ = 1430956800.

The previous prime is 5509998647. The next prime is 5509998653. The reversal of 5509998648 is 8468999055.

5509998648 is a `hidden beast` number, since 5 + 509 + 9 + 9 + 86 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5509998647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811588 + ... + 818348.

It is an arithmetic number, because the mean of its divisors is an integer number (76072500).

Almost surely, 25509998648 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 5509998648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737280000).

5509998648 is an abundant number, since it is smaller than the sum of its proper divisors (13964561352).

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

5509998648 is a wasteful number, since it uses less digits than its factorization.

5509998648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The square root of 5509998648 is about 74229.3651326751. The cubic root of 5509998648 is about 1766.2431780156.

The spelling of 5509998648 in words is "five billion, five hundred nine million, nine hundred ninety-eight thousand, six hundred forty-eight".