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7494338781241 = 13231267932
BaseRepresentation
bin110110100001110100101…
…1001101010000000111001
3222112110012100120222102221
41231003221121222000321
51440241401211444431
623534503545124041
71402306462401604
oct155035131520071
928473170528387
107494338781241
11242a370957354
12a10552a89621
13424936936300
141bca2963733b
15cee29319111
hex6d0e966a039

7494338781241 has 27 divisors (see below), whose sum is σ = 8386630414317. Its totient is φ = 6693709164480.

The previous prime is 7494338781197. The next prime is 7494338781263. The reversal of 7494338781241 is 1421878334947.

It is a happy number.

The square root of 7494338781241 is 2737579.

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 4219035132841 + 3275303648400 = 2054029^2 + 1809780^2 .

It is not a de Polignac number, because 7494338781241 - 219 = 7494338256953 is a prime.

It is a super-2 number, since 2×74943387812412 (a number of 27 digits) contains 22 as substring.

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 7494338781241.

It is not an unprimeable number, because it can be changed into a prime (7494338761241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1103240941 + ... + 1103247733.

It is an arithmetic number, because the mean of its divisors is an integer number (310615941271).

Almost surely, 27494338781241 is an apocalyptic number.

7494338781241 is the 2737579-th square number.

7494338781241 is the 1368790-th centered octagonal number.

It is an amenable number.

7494338781241 is a deficient number, since it is larger than the sum of its proper divisors (892291633076).

7494338781241 is an frugal number, since it uses more digits than its factorization.

7494338781241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13674 (or 6837 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 61.

The spelling of 7494338781241 in words is "seven trillion, four hundred ninety-four billion, three hundred thirty-eight million, seven hundred eighty-one thousand, two hundred forty-one".

Divisors: 1 13 31 169 403 961 5239 6793 12493 88309 162409 210583 1148017 2737579 6528073 35588527 46144849 84864949 599883037 1103244337 1430490319 7798479481 18596374147 44345199889 241752863911 576487598557 7494338781241