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2104005369361 = 72432612792
BaseRepresentation
bin11110100111100000011…
…111100001111000010001
321110010210202022001001011
4132213200133201320101
5233433000333304421
64250322225010521
7305003133362200
oct36474037417021
97403722261034
102104005369361
117413381a81a5
1229b92b183a41
13123539b2544c
1473b97861237
1539ae3b9d4e1
hex1e9e07e1e11

2104005369361 has 81 divisors (see below), whose sum is σ = 2580165722043. Its totient is φ = 1710684087840.

The previous prime is 2104005369331. The next prime is 2104005369373. The reversal of 2104005369361 is 1639635004012.

The square root of 2104005369361 is 1450519.

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., 68418341761 + 2035587027600 = 261569^2 + 1426740^2 .

It is not a de Polignac number, because 2104005369361 - 213 = 2104005361169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2104005369331) 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, 26632979320 + ... + 26632979398.

It is an arithmetic number, because the mean of its divisors is an integer number (31853897803).

Almost surely, 22104005369361 is an apocalyptic number.

2104005369361 is the 1450519-th square number.

2104005369361 is the 725260-th centered octagonal number.

It is an amenable number.

2104005369361 is a deficient number, since it is larger than the sum of its proper divisors (476160352682).

2104005369361 is an frugal number, since it uses more digits than its factorization.

2104005369361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 2104005369361 in words is "two trillion, one hundred four billion, five million, three hundred sixty-nine thousand, three hundred sixty-one".

Divisors: 1 7 43 49 61 79 301 427 553 1849 2107 2623 2989 3397 3721 3871 4819 6241 12943 18361 23779 26047 33733 43687 90601 112789 128527 146071 160003 166453 182329 207217 236131 268363 293959 305809 380701 789523 1022497 1120021 1450519 1878541 2057713 2664907 5526661 6880129 7157479 7840147 8910331 10153633 11539609 12640237 13149787 14403991 16370143 18654349 23222761 48160903 62372317 80777263 88481659 114591001 162559327 337126321 436606219 543530191 565440841 619371613 703916149 802137007 998578723 1137915289 3804711337 4927413043 6990051061 26632979359 34491891301 42938885089 48930357427 300572195623 2104005369361