Search a number
-
+
248035681369 = 7216373092213
BaseRepresentation
bin1110011100000000010…
…1000010010001011001
3212201020000220010112101
43213000011002101121
513030434113300434
6305540201243401
723630361335200
oct3470005022131
9781200803471
10248035681369
1196211748623
12400a2793561
131a50b128788
14c00d9a4237
1566ba653b14
hex39c0142459

248035681369 has 12 divisors (see below), whose sum is σ = 288707652324. Its totient is φ = 212472070944.

The previous prime is 248035681343. The next prime is 248035681379. The reversal of 248035681369 is 963186530842.

It can be written as a sum of positive squares in 2 ways, for example, as 40245575769 + 207790105600 = 200613^2 + 455840^2 .

It is not a de Polignac number, because 248035681369 - 211 = 248035679321 is a prime.

It is a super-2 number, since 2×2480356813692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248035681319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465894 + ... + 1626319.

It is an arithmetic number, because the mean of its divisors is an integer number (24058971027).

Almost surely, 2248035681369 is an apocalyptic number.

It is an amenable number.

248035681369 is a deficient number, since it is larger than the sum of its proper divisors (40671970955).

248035681369 is a wasteful number, since it uses less digits than its factorization.

248035681369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093864 (or 3093857 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 248035681369 in words is "two hundred forty-eight billion, thirty-five million, six hundred eighty-one thousand, three hundred sixty-nine".

Divisors: 1 7 49 1637 11459 80213 3092213 21645491 151518437 5061952681 35433668767 248035681369