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9168948712 = 23711192334061
BaseRepresentation
bin10001000101000001…
…10000110111101000
3212122222222212002001
420202200300313220
5122234222324322
64113454220344
7443133530620
oct104240606750
925588885061
109168948712
1139856a5970
12193a7b46b4
13b31784c51
1462da33880
15389e50827
hex222830de8

9168948712 has 128 divisors (see below), whose sum is σ = 23543654400. Its totient is φ = 3237062400.

The previous prime is 9168948703. The next prime is 9168948713. The reversal of 9168948712 is 2178498619.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9168948713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252162 + ... + 286222.

It is an arithmetic number, because the mean of its divisors is an integer number (183934800).

Almost surely, 29168948712 is an apocalyptic number.

9168948712 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9168948712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771827200).

9168948712 is an abundant number, since it is smaller than the sum of its proper divisors (14374705688).

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

9168948712 is a wasteful number, since it uses less digits than its factorization.

9168948712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34127 (or 34123 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 55.

The square root of 9168948712 is about 95754.6276270761. The cubic root of 9168948712 is about 2093.0190498958.

The spelling of 9168948712 in words is "nine billion, one hundred sixty-eight million, nine hundred forty-eight thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 19 22 23 28 38 44 46 56 76 77 88 92 133 152 154 161 184 209 253 266 308 322 418 437 506 532 616 644 836 874 1012 1064 1288 1463 1672 1748 1771 2024 2926 3059 3496 3542 4807 5852 6118 7084 9614 11704 12236 14168 19228 24472 33649 34061 38456 67298 68122 134596 136244 238427 269192 272488 374671 476854 647159 749342 783403 953708 1294318 1498684 1566806 1907416 2588636 2622697 2997368 3133612 4530113 5177272 5245394 5483821 6267224 7118749 8617433 9060226 10490788 10967642 14237498 14884657 17234866 18120452 20981576 21935284 28474996 29769314 34469732 36240904 43870568 49831243 56949992 59538628 60322031 68939464 99662486 104192599 119077256 120644062 163731227 199324972 208385198 241288124 327462454 398649944 416770396 482576248 654924908 833540792 1146118589 1309849816 2292237178 4584474356 9168948712