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488668447022217 = 37311130334919491
BaseRepresentation
bin110111100011100001111110…
…1001100101001110010001001
32101002020020200021111120222020
41233013003331030221302021
51003022320434414202332
64451151104015115053
7204634062444033000
oct15707037514516211
92332206607446866
10488668447022217
11131783140869420
1246983276212a89
1317c893103c80a7
1488959713a3c37
153b765c394982c
hex1bc70fd329c89

488668447022217 has 128 divisors (see below), whose sum is σ = 829871375155200. Its totient is φ = 253559536776000.

The previous prime is 488668447022207. The next prime is 488668447022233. The reversal of 488668447022217 is 712220744866884.

It is a de Polignac number, because none of the positive numbers 2k-488668447022217 is a prime.

It is a super-2 number, since 2×4886684470222172 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488668447022207) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51487556842 + ... + 51487566332.

It is an arithmetic number, because the mean of its divisors is an integer number (6483370118400).

Almost surely, 2488668447022217 is an apocalyptic number.

It is an amenable number.

488668447022217 is a deficient number, since it is larger than the sum of its proper divisors (341202928132983).

488668447022217 is a wasteful number, since it uses less digits than its factorization.

488668447022217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14320 (or 14306 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 69.

The spelling of 488668447022217 in words is "four hundred eighty-eight trillion, six hundred sixty-eight billion, four hundred forty-seven million, twenty-two thousand, two hundred seventeen".

Divisors: 1 3 7 11 21 33 49 77 147 231 343 539 1029 1303 1617 3491 3773 3909 9121 9491 10473 11319 14333 24437 27363 28473 38401 42999 63847 66437 73311 100331 104401 115203 171059 191541 199311 268807 300993 313203 446929 465059 513177 702317 730807 806421 1197413 1340787 1395177 1881649 2106951 2192421 3255413 3592239 4548773 4916219 5115649 5644947 9766239 12366773 13171543 13646319 14748657 15346947 31841411 33133081 35809543 37100319 39514629 50036503 86567411 95524233 99399243 107428629 136034503 150109509 222889877 231931567 259702233 350255521 364463891 408103509 605971877 668669631 695794701 952241521 1050766563 1093391673 1560229139 1623520969 1817915631 2451788647 2551247237 2856724563 4241803139 4680687417 4870562907 6665690647 7355365941 7653741711 11364646783 12725409417 17162520529 17858730659 19997071941 34093940349 43172404543 46659834529 51487561587 53576191977 125011114613 129517213629 139979503587 302206831801 375033343839 474896449973 906620495403 1424689349919 2115447822607 3324275149811 6346343467821 9972825449433 14808134758249 23269926048677 44424404274747 69809778146031 162889482340739 488668447022217