Search a number
-
+
1836049390081 = 412330492
BaseRepresentation
bin11010101101111101000…
…100100101101000000001
320111112011102211220222021
4122231331010211220001
5220040212120440311
63523245222241441
7246436005212464
oct32557504455001
96445142756867
101836049390081
11648734018a55
12257a09286281
131041a59a995a
1464c184012db
1532b5e7c4171
hex1ab7d125a01

1836049390081 has 9 divisors (see below), whose sum is σ = 1881980264073. Its totient is φ = 1791213497280.

The previous prime is 1836049390079. The next prime is 1836049390121. The reversal of 1836049390081 is 1800939406381.

It is a happy number.

The square root of 1836049390081 is 1355009.

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 1699917908481 + 136131481600 = 1303809^2 + 368960^2 .

It is not a de Polignac number, because 1836049390081 - 21 = 1836049390079 is a prime.

It is a super-2 number, since 2×18360493900812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1836049390031) 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 8 ways as a sum of consecutive naturals, for example, 55538845 + ... + 55571893.

Almost surely, 21836049390081 is an apocalyptic number.

1836049390081 is the 1355009-th square number.

1836049390081 is the 677505-th centered octagonal number.

It is an amenable number.

1836049390081 is a deficient number, since it is larger than the sum of its proper divisors (45930873992).

1836049390081 is an frugal number, since it uses more digits than its factorization.

1836049390081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66180 (or 33090 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 1836049390081 in words is "one trillion, eight hundred thirty-six billion, forty-nine million, three hundred ninety thousand, eighty-one".

Divisors: 1 41 1681 33049 1355009 55555369 1092236401 44781692441 1836049390081