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4427268514305 = 3571317593233719
BaseRepresentation
bin100000001101100110111…
…0001000110001000000001
3120200020112221210010100020
41000123031301012020001
51040014021214424210
613225505321044053
7634600561312620
oct100331561061001
916606487703306
104427268514305
1114576597263aa
125b604b326629
13261649940130
141143d0c7d6b7
157a26b7c8770
hex406cdc46201

4427268514305 has 128 divisors (see below), whose sum is σ = 9387618508800. Its totient is φ = 1728512815104.

The previous prime is 4427268514241. The next prime is 4427268514309. The reversal of 4427268514305 is 5034158627244.

It is not a de Polignac number, because 4427268514305 - 26 = 4427268514241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4427268514309) 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, 247765 + ... + 2985954.

It is an arithmetic number, because the mean of its divisors is an integer number (73340769600).

Almost surely, 24427268514305 is an apocalyptic number.

It is an amenable number.

4427268514305 is an abundant number, since it is smaller than the sum of its proper divisors (4960349994495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4427268514305 is a wasteful number, since it uses less digits than its factorization.

4427268514305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233823.

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 4427268514305 in words is "four trillion, four hundred twenty-seven billion, two hundred sixty-eight million, five hundred fourteen thousand, three hundred five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 59 65 85 91 105 119 177 195 221 255 273 295 357 413 455 595 663 767 885 1003 1105 1239 1365 1547 1785 2065 2301 3009 3315 3835 4641 5015 5369 6195 7021 7735 11505 13039 15045 16107 21063 23205 26845 35105 39117 65195 80535 91273 105315 195585 273819 456365 1369095 3233719 9701157 16168595 22636033 42038347 48505785 54973223 67908099 113180165 126115041 164919669 190789421 210191735 274866115 294268429 339540495 384812561 572368263 630575205 714651899 824598345 882805287 953947105 1154437683 1335525947 1471342145 1924062805 2143955697 2480262473 2861841315 3243420157 3573259495 4006577841 4414026435 5002563293 5772188415 6677629735 7440787419 9730260471 10719778485 12401312365 15007689879 16217100785 17361837311 20032889205 22703941099 25012816465 37203937095 42164462041 48651302355 52085511933 68111823297 75038449395 86809186555 113519705495 126493386123 210822310205 260427559665 295151234287 340559116485 632466930615 885453702861 1475756171435 4427268514305