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13328347941601 = 7211217227892
BaseRepresentation
bin1100000111110011111101…
…1100011100101011100001
31202012011210111002012022121
43001330333130130223201
53221332424033112401
644202543012304241
72543640613143100
oct301747734345341
952164714065277
1013328347941601
11427957aa42100
1215b3158912081
13758b1c81a064
1434114a00a037
15181a7a8daca1
hexc1f3f71cae1

13328347941601 has 81 divisors (see below), whose sum is σ = 18109966438137. Its totient is φ = 9771295860480.

The previous prime is 13328347941599. The next prime is 13328347941619. The reversal of 13328347941601 is 10614974382331.

The square root of 13328347941601 is 3650801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2269557315025 + 11058790626576 = 1506505^2 + 3325476^2 .

It is not a de Polignac number, because 13328347941601 - 21 = 13328347941599 is a prime.

It is a super-2 number, since 2×133283479416012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13328347941691) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4778897115 + ... + 4778899903.

Almost surely, 213328347941601 is an apocalyptic number.

13328347941601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13328347941601 is the 3650801-st square number.

13328347941601 is the 1825401-st centered octagonal number.

It is an amenable number.

13328347941601 is a deficient number, since it is larger than the sum of its proper divisors (4781618496536).

13328347941601 is an frugal number, since it uses more digits than its factorization.

13328347941601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 13328347941601 in words is "thirteen trillion, three hundred twenty-eight billion, three hundred forty-seven million, nine hundred forty-one thousand, six hundred one".

Divisors: 1 7 11 17 49 77 119 121 187 289 539 833 847 1309 2023 2057 2789 3179 5929 9163 14161 14399 19523 22253 30679 34969 47413 100793 136661 155771 214753 244783 331891 337469 521543 806021 1503271 1713481 2323237 2362283 3650801 5642147 5736973 7778521 8866231 16535981 25555607 39495029 40158811 54449647 62063617 85563731 97528541 132234857 281111677 381147529 434445319 598946117 682699787 925643999 941201041 1454583427 2247992569 4192622819 4778898509 6479507993 6588407287 10182083989 15735947983 16000417697 24727918259 46118851009 71274587923 110151635881 112002923879 173095427813 272007100849 784020467153 1211667994691 1904049705943 13328347941601