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5565106000 = 24535352501
BaseRepresentation
bin1010010111011010…
…01100011101010000
3112100211201200021001
411023231030131100
542344131343000
62320115311344
7254623422556
oct51355143520
915324650231
105565106000
1123a63a2563
1210b38ab554
136a8c5aa3c
143ab163bd6
1522888046a
hex14bb4c750

5565106000 has 80 divisors (see below), whose sum is σ = 13710582288. Its totient is φ = 2184000000.

The previous prime is 5565105977. The next prime is 5565106007. The reversal of 5565106000 is 6015655.

It can be written as a sum of positive squares in 8 ways, for example, as 1770053184 + 3795052816 = 42072^2 + 61604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5565106000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5565106007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79750 + ... + 132250.

Almost surely, 25565106000 is an apocalyptic number.

5565106000 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 5565106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855291144).

5565106000 is an abundant number, since it is smaller than the sum of its proper divisors (8145476288).

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

5565106000 is a wasteful number, since it uses less digits than its factorization.

5565106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52577 (or 52561 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 5565106000 is about 74599.6380688271. The cubic root of 5565106000 is about 1772.1119204651. Note that the first 3 decimals are identical.

The spelling of 5565106000 in words is "five billion, five hundred sixty-five million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 21200 26500 52501 53000 105002 106000 210004 262505 420008 525010 840016 1050020 1312525 2100040 2625050 2782553 4200080 5250100 5565106 6562625 10500200 11130212 13125250 13912765 21000400 22260424 26250500 27825530 44520848 52501000 55651060 69563825 105002000 111302120 139127650 222604240 278255300 347819125 556510600 695638250 1113021200 1391276500 2782553000 5565106000