Search a number
-
+
996378735 = 35112372401
BaseRepresentation
bin111011011000111…
…000100001101111
32120102212021200010
4323120320201233
54020033104420
6242511504303
733456036162
oct7330704157
92512767603
10996378735
11471480100
12239828093
1312b56cb21
1496487ad9
155c7184e0
hex3b63886f

996378735 has 72 divisors (see below), whose sum is σ = 1805439888. Its totient is φ = 468864000.

The previous prime is 996378727. The next prime is 996378737. The reversal of 996378735 is 537873699.

996378735 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 996378735 - 23 = 996378727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996378737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2484535 + ... + 2484935.

It is an arithmetic number, because the mean of its divisors is an integer number (25075554).

Almost surely, 2996378735 is an apocalyptic number.

996378735 is a deficient number, since it is larger than the sum of its proper divisors (809061153).

996378735 is a wasteful number, since it uses less digits than its factorization.

996378735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 457 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 57.

The square root of 996378735 is about 31565.4674446617. The cubic root of 996378735 is about 998.7914516660.

The spelling of 996378735 in words is "nine hundred ninety-six million, three hundred seventy-eight thousand, seven hundred thirty-five".

Divisors: 1 3 5 11 15 33 37 55 111 121 165 185 363 401 407 555 605 1203 1221 1369 1815 2005 2035 4107 4411 4477 6015 6105 6845 13233 13431 14837 15059 20535 22055 22385 44511 45177 48521 66165 67155 74185 75295 145563 163207 165649 222555 225885 242605 489621 496947 548969 727815 816035 828245 1646907 1795277 2448105 2484735 2744845 5385831 6038659 8234535 8976385 18115977 26929155 30193295 66425249 90579885 199275747 332126245 996378735