Search a number
-
+
11821995441 = 3640272
BaseRepresentation
bin10110000001010010…
…10101010110110001
31010111220011121000000
423000221111112301
5143202412323231
65233030220213
7565650206004
oct130051252661
933456147000
1011821995441
115017232173
12235b1b4669
13116530bc99
1480212353b
15492d0d6e6
hex2c0a555b1

11821995441 has 21 divisors (see below), whose sum is σ = 17729287401. Its totient is φ = 7879373172.

The previous prime is 11821995407. The next prime is 11821995457. The reversal of 11821995441 is 14459912811.

It is a happy number.

The square root of 11821995441 is 108729.

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

11821995441 is a `hidden beast` number, since 1 + 18 + 2 + 1 + 99 + 544 + 1 = 666.

It is not a de Polignac number, because 11821995441 - 221 = 11819898289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11821995481) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2933670 + ... + 2937696.

It is an arithmetic number, because the mean of its divisors is an integer number (844251781).

Almost surely, 211821995441 is an apocalyptic number.

11821995441 is the 108729-th square number.

11821995441 is the 54365-th centered octagonal number.

It is an amenable number.

11821995441 is a deficient number, since it is larger than the sum of its proper divisors (5907291960).

11821995441 is an frugal number, since it uses more digits than its factorization.

11821995441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072 (or 4030 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 11821995441 in words is "eleven billion, eight hundred twenty-one million, nine hundred ninety-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 243 729 4027 12081 36243 108729 326187 978561 2935683 16216729 48650187 145950561 437851683 1313555049 3940665147 11821995441