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5600450000 = 24551011109
BaseRepresentation
bin1010011011101000…
…00001010111010000
3112110022020100010002
411031310001113100
542432203400000
62323421025132
7255533016365
oct51564012720
915408210102
105600450000
112414342a82
1211036b51a8
136b3384252
143b1b2446c
1522ba128d5
hex14dd015d0

5600450000 has 120 divisors (see below), whose sum is σ = 13709356920. Its totient is φ = 2216000000.

The previous prime is 5600449999. The next prime is 5600450047. The reversal of 5600450000 is 540065.

It can be written as a sum of positive squares in 12 ways, for example, as 5600426896 + 23104 = 74836^2 + 152^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5049446 + ... + 5050554.

It is an arithmetic number, because the mean of its divisors is an integer number (114244641).

Almost surely, 25600450000 is an apocalyptic number.

5600450000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854678460).

5600450000 is an abundant number, since it is smaller than the sum of its proper divisors (8108906920).

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

5600450000 is a wasteful number, since it uses less digits than its factorization.

5600450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5600450000 is about 74836.1543640505. The cubic root of 5600450000 is about 1775.8555684970.

Adding to 5600450000 its reverse (540065), we get a palindrome (5600990065).

The spelling of 5600450000 in words is "five billion, six hundred million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1109 1250 1616 2000 2020 2218 2500 2525 3125 4040 4436 5000 5050 5545 6250 8080 8872 10000 10100 11090 12500 12625 17744 20200 22180 25000 25250 27725 40400 44360 50000 50500 55450 63125 88720 101000 110900 112009 126250 138625 202000 221800 224018 252500 277250 315625 443600 448036 505000 554500 560045 631250 693125 896072 1010000 1109000 1120090 1262500 1386250 1792144 2218000 2240180 2525000 2772500 2800225 3465625 4480360 5050000 5545000 5600450 6931250 8960720 11090000 11200900 13862500 14001125 22401800 27725000 28002250 44803600 55450000 56004500 70005625 112009000 140011250 224018000 280022500 350028125 560045000 700056250 1120090000 1400112500 2800225000 5600450000