Search a number
-
+
1816837105801 = 13479012
BaseRepresentation
bin11010011100000011111…
…011100010100010001001
320102200120111112202112211
4122130003323202202021
5214231340244341201
63510350552305121
7245155626410044
oct32340373424211
96380514482484
101816837105801
116405751aa463
122541470a21a1
131024335736c3
1463d149a7c5b
15323d7ca5651
hex1a703ee2889

1816837105801 has 3 divisors (see below), whose sum is σ = 1816838453703. Its totient is φ = 1816835757900.

The previous prime is 1816837105799. The next prime is 1816837105823. The reversal of 1816837105801 is 1085017386181.

The square root of 1816837105801 is 1347901.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 631308113401 + 1185528992400 = 794549^2 + 1088820^2 .

It is not a de Polignac number, because 1816837105801 - 21 = 1816837105799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1816837103801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 673951 + ... + 2021851.

It is an arithmetic number, because the mean of its divisors is an integer number (605612817901).

Almost surely, 21816837105801 is an apocalyptic number.

1816837105801 is the 1347901-st square number.

1816837105801 is the 673951-st centered octagonal number.

It is an amenable number.

1816837105801 is a deficient number, since it is larger than the sum of its proper divisors (1347902).

1816837105801 is an frugal number, since it uses more digits than its factorization.

1816837105801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695802 (or 1347901 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 49.

Multiplying 1816837105801 by its sum of digits (49), we get a square (89025018184249 = 94353072).

The spelling of 1816837105801 in words is "one trillion, eight hundred sixteen billion, eight hundred thirty-seven million, one hundred five thousand, eight hundred one".

Divisors: 1 1347901 1816837105801