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9807081648 = 24371319118169
BaseRepresentation
bin10010010001000110…
…00011000010110000
3221022110202100220020
421020203003002300
5130041103103043
64301051443440
7465012550530
oct111043030260
927273670806
109807081648
114182929661
121a98456580
13c03a425c0
146906a54c0
153c5ea1e83
hex2488c30b0

9807081648 has 160 divisors (see below), whose sum is σ = 32822899200. Its totient is φ = 2450331648.

The previous prime is 9807081643. The next prime is 9807081649. The reversal of 9807081648 is 8461807089.

It is a self number, because there is not a number n which added to its sum of digits gives 9807081648.

It is not an unprimeable number, because it can be changed into a prime (9807081643) 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 31 ways as a sum of consecutive naturals, for example, 23908 + ... + 142076.

It is an arithmetic number, because the mean of its divisors is an integer number (205143120).

Almost surely, 29807081648 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 9807081648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411449600).

9807081648 is an abundant number, since it is smaller than the sum of its proper divisors (23015817552).

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

9807081648 is a wasteful number, since it uses less digits than its factorization.

9807081648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118219 (or 118213 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 9807081648 is about 99030.7106305918. The cubic root of 9807081648 is about 2140.4902978838.

The spelling of 9807081648 in words is "nine billion, eight hundred seven million, eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 20748 27664 41496 82992 118169 236338 354507 472676 709014 827183 945352 1418028 1536197 1654366 1890704 2245211 2481549 2836056 3072394 3308732 4490422 4608591 4963098 5672112 6144788 6617464 6735633 8980844 9217182 9926196 10753379 12289576 13234928 13471266 15716477 17961688 18434364 19852392 21506758 24579152 26942532 29187743 31432954 32260137 35923376 36868728 39704784 43013516 47149431 53885064 58375486 62865908 64520274 73737456 86027032 87563229 94298862 107770128 116750972 125731816 129040548 172054064 175126458 188597724 204314201 233501944 251463632 258081096 350252916 377195448 408628402 467003888 516162192 612942603 700505832 754390896 817256804 1225885206 1401011664 1634513608 2451770412 3269027216 4903540824 9807081648