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1983722521 = 11240492
BaseRepresentation
bin111011000111101…
…0011010000011001
312010020201112201111
41312033103100121
513030313110041
6524502020321
7100105235404
oct16617232031
95106645644
101983722521
1192883a100
124744176a1
13257c98411
1414b65cd3b
15b9249981
hex763d3419

1983722521 has 9 divisors (see below), whose sum is σ = 2180993983. Its totient is φ = 1802938720.

The previous prime is 1983722509. The next prime is 1983722549. The reversal of 1983722521 is 1252273891.

The square root of 1983722521 is 44539.

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., 484484121 + 1499238400 = 22011^2 + 38720^2 .

It is not a de Polignac number, because 1983722521 - 215 = 1983689753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1983722621) 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, 487905 + ... + 491953.

Almost surely, 21983722521 is an apocalyptic number.

1983722521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1983722521 is the 44539-th square number.

1983722521 is the 22270-th centered octagonal number.

It is an amenable number.

1983722521 is a deficient number, since it is larger than the sum of its proper divisors (197271462).

1983722521 is an frugal number, since it uses more digits than its factorization.

1983722521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 4060 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The cubic root of 1983722521 is about 1256.4936784430.

The spelling of 1983722521 in words is "one billion, nine hundred eighty-three million, seven hundred twenty-two thousand, five hundred twenty-one".

Divisors: 1 11 121 4049 44539 489929 16394401 180338411 1983722521