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21205766884 = 2217242832
BaseRepresentation
bin10011101111111101…
…100101001011100100
32000201212101120110111
4103233331211023210
5321412134020014
613424121102404
71350333021151
oct235775451344
960655346414
1021205766884
118aa2114585
124139927a04
131ccc43ac73
1410524b7228
15841a452c4
hex4eff652e4

21205766884 has 27 divisors (see below), whose sum is σ = 39430653577. Its totient is φ = 9976854464.

The previous prime is 21205766839. The next prime is 21205766887. The reversal of 21205766884 is 48866750212.

The square root of 21205766884 is 145622.

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., 16509680100 + 4696086784 = 128490^2 + 68528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21205766887) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4949007 + ... + 4953289.

Almost surely, 221205766884 is an apocalyptic number.

21205766884 is the 145622-nd square number.

It is an amenable number.

21205766884 is a deficient number, since it is larger than the sum of its proper divisors (18224886693).

21205766884 is an frugal number, since it uses more digits than its factorization.

21205766884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 21205766884 by its sum of digits (49), we get a square (1039082577316 = 10193542).

The spelling of 21205766884 in words is "twenty-one billion, two hundred five million, seven hundred sixty-six thousand, eight hundred eighty-four".

Divisors: 1 2 4 17 34 68 289 578 1156 4283 8566 17132 72811 145622 291244 1237787 2475574 4951148 18344089 36688178 73376356 311849513 623699026 1247398052 5301441721 10602883442 21205766884