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9948681324 = 22323141217429
BaseRepresentation
bin10010100001111110…
…01101010001101100
3221200100012101010200
421100333031101230
5130333330300244
64323110433500
7501352252551
oct112077152154
927610171120
109948681324
11424585358a
121b17962890
13c2718caaa
146a5404a28
153d3622669
hex250fcd46c

9948681324 has 72 divisors (see below), whose sum is σ = 26592558720. Its totient is φ = 3130963200.

The previous prime is 9948681313. The next prime is 9948681403. The reversal of 9948681324 is 4231868499.

9948681324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 62959 + ... + 154470.

Almost surely, 29948681324 is an apocalyptic number.

It is an amenable number.

9948681324 is an abundant number, since it is smaller than the sum of its proper divisors (16643877396).

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

9948681324 is a wasteful number, since it uses less digits than its factorization.

9948681324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217511 (or 217506 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 9948681324 is about 99743.0765717601. The cubic root of 9948681324 is about 2150.7429430986.

The spelling of 9948681324 in words is "nine billion, nine hundred forty-eight million, six hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 492 558 738 1116 1271 1476 2542 3813 5084 7626 11439 15252 22878 45756 217429 434858 652287 869716 1304574 1956861 2609148 3913722 6740299 7827444 8914589 13480598 17829178 20220897 26743767 26961196 35658356 40441794 53487534 60662691 80231301 80883588 106975068 121325382 160462602 242650764 276352259 320925204 552704518 829056777 1105409036 1658113554 2487170331 3316227108 4974340662 9948681324