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108443758864 = 24721926192
BaseRepresentation
bin110010011111111000…
…0000111000100010000
3101100220122001201212111
41210333300013010100
53234043100240424
6121452434035104
710556223512200
oct1447760070420
9340818051774
10108443758864
1141a99747111
1219025718a94
13a2c2c7586c
14536a640400
152c4a68e194
hex193fc07110

108443758864 has 135 divisors (see below), whose sum is σ = 258371731287. Its totient is φ = 43958666304.

The previous prime is 108443758847. The next prime is 108443758867. The reversal of 108443758864 is 468857344801.

The square root of 108443758864 is 329308.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 108443758799 and 108443758808.

It is not an unprimeable number, because it can be changed into a prime (108443758867) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175191547 + ... + 175192165.

Almost surely, 2108443758864 is an apocalyptic number.

108443758864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

108443758864 is the 329308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108443758864

108443758864 is an abundant number, since it is smaller than the sum of its proper divisors (149927972423).

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

108443758864 is an frugal number, since it uses more digits than its factorization.

108443758864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 58.

The spelling of 108443758864 in words is "one hundred eight billion, four hundred forty-three million, seven hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 532 619 722 784 931 1064 1238 1444 1862 2128 2476 2527 2888 3724 4333 4952 5054 5776 7448 8666 9904 10108 11761 14896 17332 17689 20216 23522 30331 34664 35378 40432 47044 60662 69328 70756 82327 94088 121324 141512 164654 188176 223459 242648 283024 329308 383161 446918 485296 576289 658616 766322 893836 1152578 1317232 1532644 1564213 1787672 2305156 2682127 3065288 3128426 3575344 4610312 5364254 6130576 6256852 7280059 9220624 10728508 10949491 12513704 14560118 18774889 21457016 21898982 25027408 29120236 37549778 42914032 43797964 50960413 58240472 75099556 87595928 101920826 116480944 138321121 150199112 175191856 203841652 276642242 300398224 356722891 407683304 553284484 713445782 815366608 968247847 1106568968 1426891564 1936495694 2213137936 2853783128 3872991388 5707566256 6777734929 7745982776 13555469858 15491965552 27110939716 54221879432 108443758864