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13628442155584 = 2656928112
BaseRepresentation
bin1100011001010001111001…
…1101000001101001000000
31210020212101120021210100111
43012110132131001221000
53241242022142434314
644552453033001104
72604423333651664
oct306243635015100
953225346253314
1013628442155584
1143848763387a3
121641349853194
1377b206014989
143518978748a4
151897914a9ec4
hexc651e741a40

13628442155584 has 63 divisors (see below), whose sum is σ = 27124998635721. Its totient is φ = 6793857815040.

The previous prime is 13628442155569. The next prime is 13628442155591. The reversal of 13628442155584 is 48555124482631.

The square root of 13628442155584 is 3691672.

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

It can be written as a sum of positive squares in only one way, i.e., 2246185617984 + 11382256537600 = 1498728^2 + 3373760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16804490539 + ... + 16804491349.

Almost surely, 213628442155584 is an apocalyptic number.

13628442155584 is the 3691672-nd square number.

It is an amenable number.

13628442155584 is a deficient number, since it is larger than the sum of its proper divisors (13496556480137).

13628442155584 is an frugal number, since it uses more digits than its factorization.

13628442155584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 1382 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 58.

The spelling of 13628442155584 in words is "thirteen trillion, six hundred twenty-eight billion, four hundred forty-two million, one hundred fifty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 569 811 1138 1622 2276 3244 4552 6488 9104 12976 18208 25952 36416 51904 323761 461459 647522 657721 922918 1295044 1315442 1845836 2590088 2630884 3691672 5180176 5261768 7383344 10360352 10523536 14766688 20720704 21047072 29533376 42094144 262570171 374243249 525140342 748486498 1050280684 1496972996 2100561368 2993945992 4201122736 5987891984 8402245472 11975783968 16804490944 23951567936 212944408681 425888817362 851777634724 1703555269448 3407110538896 6814221077792 13628442155584