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5605813920 = 2535717223251
BaseRepresentation
bin1010011100010000…
…11110111010100000
3112110200022212000210
411032020132322200
542440042021140
62324132014120
7255626426550
oct51610367240
915420285023
105605813920
112417376a73
121105461340
136b4511875
143b271d160
1522c221d80
hex14e21eea0

5605813920 has 576 divisors, whose sum is σ = 22459078656. Its totient is φ = 1148928000.

The previous prime is 5605813879. The next prime is 5605813921. The reversal of 5605813920 is 293185065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605813921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22333795 + ... + 22334045.

It is an arithmetic number, because the mean of its divisors is an integer number (38991456).

Almost surely, 25605813920 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 5605813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229539328).

5605813920 is an abundant number, since it is smaller than the sum of its proper divisors (16853264736).

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

5605813920 is a wasteful number, since it uses less digits than its factorization.

5605813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5605813920 is about 74871.9835452488. The cubic root of 5605813920 is about 1776.4223388896.

Adding to 5605813920 its reverse (293185065), we get a palindrome (5898998985).

The spelling of 5605813920 in words is "five billion, six hundred five million, eight hundred thirteen thousand, nine hundred twenty".