Search a number
-
+
5605516900 = 225274872
BaseRepresentation
bin1010011100001110…
…10110011001100100
3112110122202202121001
411032013112121210
542440003020100
62324121403044
7255624051604
oct51607263144
915418682531
105605516900
1124171938a5
121105339484
136b4439609
143b2682c04
1522c1b3d6a
hex14e1d6664

5605516900 has 27 divisors (see below), whose sum is σ = 12165596569. Its totient is φ = 2241907280.

The previous prime is 5605516849. The next prime is 5605517003. The reversal of 5605516900 is 96155065.

The square root of 5605516900 is 74870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2017986084 + 3587530816 = 44922^2 + 59896^2 .

It is a super-2 number, since 2×56055169002 = 62843639432371220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5605516900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 744957 + ... + 752443.

Almost surely, 25605516900 is an apocalyptic number.

5605516900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5605516900 is the 74870-th square number.

It is an amenable number.

5605516900 is an abundant number, since it is smaller than the sum of its proper divisors (6560079669).

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

5605516900 is an frugal number, since it uses more digits than its factorization.

5605516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14988 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 37.

The cubic root of 5605516900 is about 1776.3909641841.

The spelling of 5605516900 in words is "five billion, six hundred five million, five hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7487 14974 29948 37435 74870 149740 187175 374350 748700 56055169 112110338 224220676 280275845 560551690 1121103380 1401379225 2802758450 5605516900