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1823002018033 = 72206917981693
BaseRepresentation
bin11010100001110011011…
…000110100000011110001
320110021111010220202021111
4122201303120310003301
5214332002004034113
63513250415553321
7245464455324100
oct32416330640361
96407433822244
101823002018033
11643149128249
1225538782b841
13102ba685ca71
146433b664037
153264911613d
hex1a8736340f1

1823002018033 has 12 divisors (see below), whose sum is σ = 2121660075060. Its totient is φ = 1561817840352.

The previous prime is 1823002018003. The next prime is 1823002018049. The reversal of 1823002018033 is 3308102003281.

It can be written as a sum of positive squares in 2 ways, for example, as 1073934270864 + 749067747169 = 1036308^2 + 865487^2 .

It is a de Polignac number, because none of the positive numbers 2k-1823002018033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1823002017986 and 1823002018004.

It is not an unprimeable number, because it can be changed into a prime (1823002018003) 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 11 ways as a sum of consecutive naturals, for example, 8889466 + ... + 9092227.

It is an arithmetic number, because the mean of its divisors is an integer number (176805006255).

Almost surely, 21823002018033 is an apocalyptic number.

It is an amenable number.

1823002018033 is a deficient number, since it is larger than the sum of its proper divisors (298658057027).

1823002018033 is a wasteful number, since it uses less digits than its factorization.

1823002018033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17983776 (or 17983769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 1823002018033 in words is "one trillion, eight hundred twenty-three billion, two million, eighteen thousand, thirty-three".

Divisors: 1 7 49 2069 14483 101381 17981693 125871851 881102957 37204122817 260428859719 1823002018033