Search a number
-
+
9940085337 = 3713217915647
BaseRepresentation
bin10010100000111100…
…11010101001011001
3221122202000122122210
421100132122221121
5130324130212322
64322202305333
7501216221430
oct112036325131
927582018583
109940085337
114240a12266
121b14ab8249
13c25470300
146a4208117
153d29c570c
hex25079aa59

9940085337 has 48 divisors (see below), whose sum is σ = 16494243840. Its totient is φ = 5213497536.

The previous prime is 9940085321. The next prime is 9940085339. The reversal of 9940085337 is 7335800499.

It is not a de Polignac number, because 9940085337 - 24 = 9940085321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9940085339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627448 + ... + 643094.

It is an arithmetic number, because the mean of its divisors is an integer number (343630080).

Almost surely, 29940085337 is an apocalyptic number.

It is an amenable number.

9940085337 is a deficient number, since it is larger than the sum of its proper divisors (6554158503).

9940085337 is a wasteful number, since it uses less digits than its factorization.

9940085337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15862 (or 15849 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 9940085337 is about 99699.9766148418. The cubic root of 9940085337 is about 2150.1233271243.

The spelling of 9940085337 in words is "nine billion, nine hundred forty million, eighty-five thousand, three hundred thirty-seven".

Divisors: 1 3 7 13 21 39 91 169 179 273 507 537 1183 1253 2327 3549 3759 6981 15647 16289 30251 46941 48867 90753 109529 203411 211757 328587 610233 635271 1423877 2644343 2800813 4271631 7933029 8402439 18510401 19605691 36410569 55531203 58817073 109231707 254873983 473337397 764621949 1420012191 3313361779 9940085337