Search a number
-
+
16736855641 = 1121926192
BaseRepresentation
bin11111001011001100…
…00010011001011001
31121012102100100201021
433211212002121121
5233234113340031
611404440522441
71131516632332
oct174546023131
947172310637
1016736855641
117109578400
1232b1180421
13176962ab9c
14b4ab81289
1567e548511
hex3e5982659

16736855641 has 27 divisors (see below), whose sum is σ = 19447334613. Its totient is φ = 14391230040.

The previous prime is 16736855633. The next prime is 16736855647. The reversal of 16736855641 is 14655863761.

The square root of 16736855641 is 129371.

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

16736855641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16736855641 - 23 = 16736855633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16736855647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27038230 + ... + 27038848.

Almost surely, 216736855641 is an apocalyptic number.

16736855641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16736855641 is the 129371-st square number.

16736855641 is the 64686-th centered octagonal number.

It is an amenable number.

16736855641 is a deficient number, since it is larger than the sum of its proper divisors (2710478972).

16736855641 is an frugal number, since it uses more digits than its factorization.

16736855641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 649 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 16736855641 in words is "sixteen billion, seven hundred thirty-six million, eight hundred fifty-five thousand, six hundred forty-one".

Divisors: 1 11 19 121 209 361 619 2299 3971 6809 11761 43681 74899 129371 223459 383161 1423081 2458049 4214771 7280059 27038539 46362481 80080649 138321121 880887139 1521532331 16736855641