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28219382140719 = 37116171268310513
BaseRepresentation
bin1100110101010010101100…
…01111111000111100101111
310200220202011021001100200010
412122221112033320330233
512144321243312000334
6140003445530504303
75641532411331060
oct632512617707457
9120822137040603
1028219382140719
118a9a8555a4690
1231b9131b95093
1312990cb892183
146d7b7abcc567
1533e0b6b420e9
hex19aa563f8f2f

28219382140719 has 128 divisors (see below), whose sum is σ = 48373319909376. Its totient is φ = 14209364736000.

The previous prime is 28219382140687. The next prime is 28219382140723. The reversal of 28219382140719 is 91704128391282.

It is a happy number.

It is not a de Polignac number, because 28219382140719 - 25 = 28219382140687 is a prime.

It is a super-4 number, since 4×282193821407194 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28219382142719) 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, 2684231607 + ... + 2684242119.

It is an arithmetic number, because the mean of its divisors is an integer number (377916561792).

Almost surely, 228219382140719 is an apocalyptic number.

28219382140719 is a deficient number, since it is larger than the sum of its proper divisors (20153937768657).

28219382140719 is a wasteful number, since it uses less digits than its factorization.

28219382140719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349.

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 28219382140719 in words is "twenty-eight trillion, two hundred nineteen billion, three hundred eighty-two million, one hundred forty thousand, seven hundred nineteen".

Divisors: 1 3 7 11 21 33 61 71 77 183 213 231 427 497 671 781 1281 1491 2013 2343 2683 4331 4697 5467 8049 10513 12993 14091 16401 18781 29513 30317 31539 47641 56343 73591 88539 90951 115643 142923 163663 190493 206591 220773 333487 346929 490989 571479 619773 641293 746423 809501 1000461 1145641 1333451 1800293 1923879 2095423 2239269 2428503 3436923 4000353 4489051 5224961 5400879 6286269 7054223 8210653 11620073 12602051 13467153 14667961 15674883 21162669 24631959 28206379 34860219 37806153 44003883 45531803 49379561 57474571 81340511 84619137 127820803 136595409 148138683 172423713 197444653 244021533 310270169 318722621 383462409 500849833 592333959 894745621 930810507 956167863 1502549499 1720589119 2002652909 2171891183 2684236863 3505948831 5161767357 6007958727 6515673549 10517846493 12044123833 14018570363 18926480309 22029181999 36132371499 42055711089 56779440927 66087545997 122161827449 132485362163 154204273993 366485482347 397456086489 462612821979 855132792143 1343780101939 2565398376429 4031340305817 9406460713573 28219382140719