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1806602121801 = 32372121092
BaseRepresentation
bin11010010010100001111…
…000001011001001001001
320101201011012121200222100
4122102201320023021021
5214044410120344201
63501535213144013
7244344166443411
oct32224170131111
96351135550870
101806602121801
116371a28884a4
1225216b48b009
13101491ca0559
1463623557641
1531ed947c886
hex1a4a1e0b249

1806602121801 has 27 divisors (see below), whose sum is σ = 2682192075381. Its totient is φ = 1171753249824.

The previous prime is 1806602121773. The next prime is 1806602121827. The reversal of 1806602121801 is 1081212066081.

The square root of 1806602121801 is 1344099.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1552005182025 + 254596939776 = 1245795^2 + 504576^2 .

It is not a de Polignac number, because 1806602121801 - 219 = 1806601597513 is a prime.

It is a super-2 number, since 2×18066021218012 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1806602121851) 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, 149188935 + ... + 149201043.

Almost surely, 21806602121801 is an apocalyptic number.

1806602121801 is the 1344099-th square number.

1806602121801 is the 672050-th centered octagonal number.

It is an amenable number.

1806602121801 is a deficient number, since it is larger than the sum of its proper divisors (875589953580).

1806602121801 is an frugal number, since it uses more digits than its factorization.

1806602121801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24298 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Multiplying 1806602121801 by its sum of digits (36), we get a square (65037676384836 = 80645942).

Adding to 1806602121801 its reverse (1081212066081), we get a palindrome (2887814187882).

The spelling of 1806602121801 in words is "one trillion, eight hundred six billion, six hundred two million, one hundred twenty-one thousand, eight hundred one".

Divisors: 1 3 9 37 111 333 1369 4107 12109 12321 36327 108981 448033 1344099 4032297 16577221 49731663 146627881 149194989 439883643 1319650929 5425231597 16275694791 48827084373 200733569089 602200707267 1806602121801