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6226876427641 = 472530932
BaseRepresentation
bin101101010011100111011…
…0000011110110101111001
3211001021122201120020000121
41122213032300132311321
51304010120331141031
621124330524133241
71211606542221112
oct132471660366571
924037581506017
106226876427641
111a90892455521
12846988397221
1336226588489c
1417754d547209
15abe96bd3011
hex5a9cec1ed79

6226876427641 has 9 divisors (see below), whose sum is σ = 6362301859951. Its totient is φ = 6094274908072.

The previous prime is 6226876427621. The next prime is 6226876427677. The reversal of 6226876427641 is 1467246786226.

The square root of 6226876427641 is 2495371.

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., 4748716514025 + 1478159913616 = 2179155^2 + 1215796^2 .

It is not a de Polignac number, because 6226876427641 - 235 = 6192516689273 is a prime.

It is a super-5 number, since 5×62268764276415 (a number of 65 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6226876427641.

It is not an unprimeable number, because it can be changed into a prime (6226876427621) 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, 117255891 + ... + 117308983.

Almost surely, 26226876427641 is an apocalyptic number.

6226876427641 is the 2495371-st square number.

6226876427641 is the 1247686-th centered octagonal number.

It is an amenable number.

6226876427641 is a deficient number, since it is larger than the sum of its proper divisors (135425432310).

6226876427641 is an frugal number, since it uses more digits than its factorization.

6226876427641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106280 (or 53140 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 61.

The spelling of 6226876427641 in words is "six trillion, two hundred twenty-six billion, eight hundred seventy-six million, four hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 47 2209 53093 2495371 117282437 2818866649 132486732503 6226876427641