Search a number
-
+
836082784004 = 221353303368209
BaseRepresentation
bin11000010101010100110…
…10101101011100000100
32221221002001021002100012
430022222122231130010
5102144244143042004
61440031403405352
7114255624256016
oct14125232553404
92857061232305
10836082784004
112a2642a31446
12116056523858
1360ac4603b40
142c6765ac1b6
1516b35e5746e
hexc2aa6ad704

836082784004 has 24 divisors (see below), whose sum is σ = 1605424567320. Its totient is φ = 378603523584.

The previous prime is 836082784001. The next prime is 836082784021. The reversal of 836082784004 is 400487280638.

It can be written as a sum of positive squares in 4 ways, for example, as 4061512900 + 832021271104 = 63730^2 + 912152^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (836082784001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151681349 + ... + 151686860.

It is an arithmetic number, because the mean of its divisors is an integer number (66892690305).

Almost surely, 2836082784004 is an apocalyptic number.

It is an amenable number.

836082784004 is a deficient number, since it is larger than the sum of its proper divisors (769341783316).

836082784004 is a wasteful number, since it uses less digits than its factorization.

836082784004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303368279 (or 303368277 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 836082784004 in words is "eight hundred thirty-six billion, eighty-two million, seven hundred eighty-four thousand, four".

Divisors: 1 2 4 13 26 52 53 106 212 689 1378 2756 303368209 606736418 1213472836 3943786717 7887573434 15775146868 16078515077 32157030154 64314060308 209020696001 418041392002 836082784004