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928696101100001 = 13618941946367829
BaseRepresentation
bin1101001100101001001110100…
…1001101011101100111100001
311111210020110222001201102111122
43103022103221031131213201
51433211224103340200001
613051101033221222025
7366421036064604503
oct32312235115354741
94453213861642448
10928696101100001
11249a02894017023
12881ab639261915
1330b27888572220
14125491b9b4bd73
1572577b447ab1b
hex34ca4e935d9e1

928696101100001 has 64 divisors (see below), whose sum is σ = 1032645656448000. Its totient is φ = 829931860961280.

The previous prime is 928696101099997. The next prime is 928696101100037. The reversal of 928696101100001 is 100001101696829.

It is a cyclic number.

It is not a de Polignac number, because 928696101100001 - 22 = 928696101099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (928696101100051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13691692355 + ... + 13691760183.

It is an arithmetic number, because the mean of its divisors is an integer number (16135088382000).

Almost surely, 2928696101100001 is an apocalyptic number.

It is an amenable number.

928696101100001 is a deficient number, since it is larger than the sum of its proper divisors (103949555347999).

928696101100001 is a wasteful number, since it uses less digits than its factorization.

928696101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68874.

The product of its (nonzero) digits is 46656, while the sum is 44.

The spelling of 928696101100001 in words is "nine hundred twenty-eight trillion, six hundred ninety-six billion, one hundred one million, one hundred thousand, one".

Divisors: 1 13 61 89 419 463 793 1157 5429 5447 6019 25559 28243 37291 41207 67829 70577 193997 332267 367159 484783 535691 881777 2274751 2513627 2521961 4137569 6036781 11833817 17265733 28420351 29571763 31404827 32677151 53788397 78478153 153839621 224454529 368243641 369464563 408262751 1053209713 1733641411 1915694447 2529411239 2795029603 4787167333 13158622513 13691726269 22537338343 24904027811 32882346107 36335384839 154294085579 170496805783 171062092669 802675973293 1171117403657 2005823112527 2216458475179 10434787652809 15224526247541 71438161623077 928696101100001