Search a number
-
+
6374832174649 = 372682392
BaseRepresentation
bin101110011000100000110…
…0110110111011000111001
3211120102120000101220222101
41130301001212313120321
51313421124014042044
621320320225223401
71225365166300111
oct134610146673071
924512500356871
106374832174649
112038607631094
1286b59a491b61
133731b4764393
14180787600041
15b0c560accd4
hex5cc419b7639

6374832174649 has 9 divisors (see below), whose sum is σ = 6551877510927. Its totient is φ = 6202448518824.

The previous prime is 6374832174643. The next prime is 6374832174673. The reversal of 6374832174649 is 9464712384736.

It is a happy number.

The square root of 6374832174649 is 2524843.

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

6374832174649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5704287373225 + 670544801424 = 2388365^2 + 818868^2 .

It is not a de Polignac number, because 6374832174649 - 25 = 6374832174617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6374832174643) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93385072 + ... + 93453310.

It is an arithmetic number, because the mean of its divisors is an integer number (727986390103).

Almost surely, 26374832174649 is an apocalyptic number.

6374832174649 is the 2524843-rd square number.

6374832174649 is the 1262422-nd centered octagonal number.

It is an amenable number.

6374832174649 is a deficient number, since it is larger than the sum of its proper divisors (177045336278).

6374832174649 is an frugal number, since it uses more digits than its factorization.

6374832174649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136552 (or 68276 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 64.

Multiplying 6374832174649 by its sum of digits (64), we get a square (407989259177536 = 201987442).

The spelling of 6374832174649 in words is "six trillion, three hundred seventy-four billion, eight hundred thirty-two million, one hundred seventy-four thousand, six hundred forty-nine".

Divisors: 1 37 1369 68239 2524843 93419191 4656561121 172292761477 6374832174649