Search a number
-
+
913742898201 = 3472151732
BaseRepresentation
bin11010100101111110101…
…00100010010000011001
310020100112022110122110000
431102333110202100121
5104432321140220301
61535433453243213
7123005254325100
oct15227724422031
93210468418400
10913742898201
11322575054701
1212910a793509
136821ca39c33
1432322695037
1518b7dcc6786
hexd4bf522419

913742898201 has 45 divisors (see below), whose sum is σ = 1587931505391. Its totient is φ = 522104386608.

The previous prime is 913742898157. The next prime is 913742898209. The reversal of 913742898201 is 102898247319.

The square root of 913742898201 is 955899.

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

913742898201 is a `hidden beast` number, since 9 + 1 + 3 + 7 + 428 + 9 + 8 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 845452665225 + 68290232976 = 919485^2 + 261324^2 .

It is not a de Polignac number, because 913742898201 - 211 = 913742896153 is a prime.

It is a super-3 number, since 3×9137428982013 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (913742898209) 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 44 ways as a sum of consecutive naturals, for example, 60214051 + ... + 60229223.

Almost surely, 2913742898201 is an apocalyptic number.

913742898201 is the 955899-th square number.

913742898201 is the 477950-th centered octagonal number.

It is an amenable number.

913742898201 is a deficient number, since it is larger than the sum of its proper divisors (674188607190).

913742898201 is an frugal number, since it uses more digits than its factorization.

913742898201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30372 (or 15183 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 913742898201 in words is "nine hundred thirteen billion, seven hundred forty-two million, eight hundred ninety-eight thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 15173 45519 106211 136557 318633 409671 743477 955899 1229013 2230431 2867697 6691293 8603091 20073879 60221637 230219929 690659787 1611539503 2071979361 4834618509 6215938083 11280776521 14503855527 18647814249 33842329563 43511566581 101526988689 130534699743 304580966067 913742898201