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3037076483841 = 32172341712
BaseRepresentation
bin101100001100011111110…
…111010110111100000001
3101202100020002012210201100
4230030133313112330001
5344224413034440331
610243114053125013
7432264405112131
oct54143767267401
911670202183640
103037076483841
11a71020553864
12410732929769
13190519cc9a3a
14a6dd10caac1
1554004743ae6
hex2c31fdd6f01

3037076483841 has 27 divisors (see below), whose sum is σ = 4660256429283. Its totient is φ = 1905560850240.

The previous prime is 3037076483821. The next prime is 3037076483869. The reversal of 3037076483841 is 1483846707303.

The square root of 3037076483841 is 1742721.

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

It can be written as a sum of positive squares in only one way, i.e., 2364505913025 + 672570570816 = 1537695^2 + 820104^2 .

It is not a de Polignac number, because 3037076483841 - 217 = 3037076352769 is a prime.

It is a super-2 number, since 2×30370764838412 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (3037076483821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88861686 + ... + 88895856.

Almost surely, 23037076483841 is an apocalyptic number.

3037076483841 is the 1742721-st square number.

3037076483841 is the 871361-st centered octagonal number.

It is an amenable number.

3037076483841 is a deficient number, since it is larger than the sum of its proper divisors (1623179945442).

3037076483841 is an frugal number, since it uses more digits than its factorization.

3037076483841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68382 (or 34191 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3037076483841 in words is "three trillion, thirty-seven billion, seventy-six million, four hundred eighty-three thousand, eight hundred forty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 34171 102513 307539 580907 1742721 5228163 9875419 29626257 88878771 1167657241 3502971723 10508915169 19850173097 59550519291 178651557873 337452942649 1012358827947 3037076483841