Search a number
-
+
5585499920 = 24571113193671
BaseRepresentation
bin1010011001110101…
…11111011100010000
3112102021002210110102
411030322333130100
542414341444140
62322124351532
7255261652220
oct51472773420
915367083412
105585499920
112406961840
1210ba6a55a8
136b024b550
143adb52080
1522a55ce15
hex14cebf710

5585499920 has 320 divisors, whose sum is σ = 18358824960. Its totient is φ = 1522022400.

The previous prime is 5585499797. The next prime is 5585499937. The reversal of 5585499920 is 299945855.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1519685 + ... + 1523355.

It is an arithmetic number, because the mean of its divisors is an integer number (57371328).

Almost surely, 25585499920 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 5585499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9179412480).

5585499920 is an abundant number, since it is smaller than the sum of its proper divisors (12773325040).

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

5585499920 is a wasteful number, since it uses less digits than its factorization.

5585499920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 56.

The square root of 5585499920 is about 74736.2022048217. The cubic root of 5585499920 is about 1774.2739788179.

It can be divided in two parts, 5585 and 499920, that added together give a palindrome (505505).

The spelling of 5585499920 in words is "five billion, five hundred eighty-five million, four hundred ninety-nine thousand, nine hundred twenty".