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21967093369 = 1348772
BaseRepresentation
bin10100011101010101…
…110011111001111001
32002200220221222001201
4110131111303321321
5324442033441434
614031435014201
71405236132664
oct243525637171
962626858051
1021967093369
119352940421
12431089a361
1320c10a0000
1410c56566db
158887cd614
hex51d573e79

21967093369 has 15 divisors (see below), whose sum is σ = 23824786587. Its totient is φ = 20254195728.

The previous prime is 21967093361. The next prime is 21967093381. The reversal of 21967093369 is 96339076912.

The square root of 21967093369 is 148213.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18921378025 + 3045715344 = 137555^2 + 55188^2 .

It is not a de Polignac number, because 21967093369 - 23 = 21967093361 is a prime.

It is a super-2 number, since 2×219670933692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21967093361) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25047559 + ... + 25048435.

Almost surely, 221967093369 is an apocalyptic number.

21967093369 is the 148213-rd square number.

21967093369 is the 74107-th centered octagonal number.

It is an amenable number.

21967093369 is a deficient number, since it is larger than the sum of its proper divisors (1857693218).

21967093369 is an frugal number, since it uses more digits than its factorization.

21967093369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 55.

The spelling of 21967093369 in words is "twenty-one billion, nine hundred sixty-seven million, ninety-three thousand, three hundred sixty-nine".

Divisors: 1 13 169 877 2197 11401 28561 148213 769129 1926769 9998677 25047997 129982801 1689776413 21967093369