Search a number
-
+
7284498438361 = 23243227292
BaseRepresentation
bin110101000000000110111…
…1100010001100011011001
3221210101120012222002012211
41222000031330101203121
51423322123100011421
623254241414235121
71351200443043364
oct152001574214331
927711505862184
107284498438361
11235937a509981
1299794b955aa1
1340ac04a2a351
141b28006b30db
15c97470229e1
hex6a00df118d9

7284498438361 has 27 divisors (see below), whose sum is σ = 7799055057759. Its totient is φ = 6803245835232.

The previous prime is 7284498438341. The next prime is 7284498438377. The reversal of 7284498438361 is 1638348944827.

The square root of 7284498438361 is 2698981.

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., 7020014519961 + 264483918400 = 2649531^2 + 514280^2 .

It is not a de Polignac number, because 7284498438361 - 215 = 7284498405593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7284498438341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2669290845 + ... + 2669293573.

Almost surely, 27284498438361 is an apocalyptic number.

7284498438361 is the 2698981-st square number.

7284498438361 is the 1349491-st centered octagonal number.

It is an amenable number.

7284498438361 is a deficient number, since it is larger than the sum of its proper divisors (514556619398).

7284498438361 is an frugal number, since it uses more digits than its factorization.

7284498438361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 2795 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 67.

The spelling of 7284498438361 in words is "seven trillion, two hundred eighty-four billion, four hundred ninety-eight million, four hundred thirty-eight thousand, three hundred sixty-one".

Divisors: 1 23 43 529 989 1849 2729 22747 42527 62767 117347 978121 1443641 2698981 5045921 7447441 62076563 116056183 171291143 320239963 2669292209 3939696289 7365519149 13770318409 169406940427 316717323407 7284498438361