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416684144341356 = 223791638533161273
BaseRepresentation
bin101111010111110001101011…
…0011010000011000101101100
32000122100121121110022101220220
41132233203112122003011230
5414103423111422410411
64034114015302411340
7153524302352625453
oct13657432632030554
92018317543271826
10416684144341356
1111084a831602741
123a898218a30b50
1314b671b92b7158
1474c7897b4db9a
153328d9e0cdb06
hex17af8d668316c

416684144341356 has 96 divisors (see below), whose sum is σ = 991772076610560. Its totient is φ = 136135398836736.

The previous prime is 416684144341301. The next prime is 416684144341453. The reversal of 416684144341356 is 653143441486614.

It is a super-2 number, since 2×4166841443413562 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 416684144341356.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130228336 + ... + 133389608.

It is an arithmetic number, because the mean of its divisors is an integer number (10330959131360).

Almost surely, 2416684144341356 is an apocalyptic number.

It is an amenable number.

416684144341356 is an abundant number, since it is smaller than the sum of its proper divisors (575087932269204).

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

416684144341356 is a wasteful number, since it uses less digits than its factorization.

416684144341356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162375 (or 3162373 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 60.

The spelling of 416684144341356 in words is "four hundred sixteen trillion, six hundred eighty-four billion, one hundred forty-four million, three hundred forty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 79 158 163 237 316 326 474 489 652 853 948 978 1706 1956 2559 3412 5118 10236 12877 25754 38631 51508 67387 77262 134774 139039 154524 202161 269548 278078 404322 417117 556156 808644 834234 1668468 3161273 6322546 9483819 10984081 12645092 18967638 21968162 32952243 37935276 43936324 65904486 131808972 249740567 499481134 515287499 749221701 998962268 1030574998 1498443402 1545862497 2061149996 2696565869 2996886804 3091724994 5393131738 6183449988 8089697607 10786263476 16179395214 32358790428 40707712421 81415424842 122123137263 162830849684 213028703651 244246274526 426057407302 439540236647 488492549052 639086110953 852114814604 879080473294 1278172221906 1318620709941 1758160946588 2556344443812 2637241419882 5274482839764 34723678695113 69447357390226 104171036085339 138894714780452 208342072170678 416684144341356