Search a number
-
+
9681328512 = 27328403931
BaseRepresentation
bin10010000010000110…
…10101100110000000
3220222201010110000200
421001003111212000
5124311410003022
64240400245200
7461624635362
oct110103254600
926881113020
109681328512
114118948449
121a62310800
13bb3982b6b
1467baccd32
153b9e11bac
hex2410d5980

9681328512 has 48 divisors (see below), whose sum is σ = 27859034580. Its totient is φ = 3227109120.

The previous prime is 9681328493. The next prime is 9681328519. The reversal of 9681328512 is 2158231869.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9681328519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4200814 + ... + 4203117.

Almost surely, 29681328512 is an apocalyptic number.

It is an amenable number.

9681328512 is an abundant number, since it is smaller than the sum of its proper divisors (18177706068).

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

9681328512 is a wasteful number, since it uses less digits than its factorization.

9681328512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403951 (or 8403936 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 9681328512 is about 98393.7422400429. The cubic root of 9681328512 is about 2131.3019666875.

The spelling of 9681328512 in words is "nine billion, six hundred eighty-one million, three hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8403931 16807862 25211793 33615724 50423586 67231448 75635379 100847172 134462896 151270758 201694344 268925792 302541516 403388688 537851584 605083032 806777376 1075703168 1210166064 1613554752 2420332128 3227109504 4840664256 9681328512