Search a number
-
+
985326330096 = 243253206362581
BaseRepresentation
bin11100101011010100000…
…01101010000011110000
310111012022002022202112100
432111222001222003300
5112120422020030341
62032352550500400
7131121206421213
oct16255201520360
93435262282470
10985326330096
1134a969031579
1213ab67964700
1371bba239024
14359936cb77a
151a96d4123b6
hexe56a06a0f0

985326330096 has 120 divisors (see below), whose sum is σ = 2810981174976. Its totient is φ = 322083740160.

The previous prime is 985326330059. The next prime is 985326330097. The reversal of 985326330096 is 690033623589.

985326330096 is a `hidden beast` number, since 9 + 8 + 5 + 326 + 3 + 300 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985326330097) 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 23 ways as a sum of consecutive naturals, for example, 15713526 + ... + 15776106.

Almost surely, 2985326330096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985326330096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405490587488).

985326330096 is an abundant number, since it is smaller than the sum of its proper divisors (1825654844880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

985326330096 is a wasteful number, since it uses less digits than its factorization.

985326330096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64711 (or 64702 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 985326330096 in words is "nine hundred eighty-five billion, three hundred twenty-six million, three hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2063 2544 3816 4126 6189 7632 8252 12378 16504 18567 24756 33008 37134 49512 62581 74268 99024 109339 125162 148536 187743 218678 250324 297072 328017 375486 437356 500648 563229 656034 750972 874712 984051 1001296 1126458 1312068 1501944 1749424 1968102 2252916 2624136 3003888 3316793 3936204 4505832 5248272 6633586 7872408 9011664 9950379 13267172 15744816 19900758 26534344 29851137 39801516 53068688 59702274 79603032 119404548 129104603 159206064 238809096 258209206 387313809 477618192 516418412 774627618 1032836824 1161941427 1549255236 2065673648 2323882854 3098510472 4647765708 6197020944 6842543959 9295531416 13685087918 18591062832 20527631877 27370175836 41055263754 54740351672 61582895631 82110527508 109480703344 123165791262 164221055016 246331582524 328442110032 492663165048 985326330096