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8426426164464 = 2437117013325093
BaseRepresentation
bin111101010011110111000…
…1000110110010011110000
31002211120002010110000112010
41322213232020312103300
52101024310044230324
625531014032402520
71526534460416430
oct172475610662360
932746063400463
108426426164464
112759699991080
12b411210a6440
134917bb0786b9
14211bac38c2c0
15e92cd843829
hex7a9ee2364f0

8426426164464 has 160 divisors (see below), whose sum is σ = 27143611697664. Its totient is φ = 2188363299840.

The previous prime is 8426426164459. The next prime is 8426426164489. The reversal of 8426426164464 is 4644616246248.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25757502 + ... + 26082594.

Almost surely, 28426426164464 is an apocalyptic number.

8426426164464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8426426164464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571805848832).

8426426164464 is an abundant number, since it is smaller than the sum of its proper divisors (18717185533200).

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

8426426164464 is a wasteful number, since it uses less digits than its factorization.

8426426164464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332135 (or 332129 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 57.

The spelling of 8426426164464 in words is "eight trillion, four hundred twenty-six billion, four hundred twenty-six million, one hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 7013 14026 21039 28052 42078 49091 56104 77143 84156 98182 112208 147273 154286 168312 196364 231429 294546 308572 325093 336624 392728 462858 540001 589092 617144 650186 785456 925716 975279 1080002 1178184 1234288 1300372 1620003 1851432 1950558 2160004 2275651 2356368 2600744 3240006 3576023 3702864 3901116 4320008 4551302 5201488 6480012 6826953 7152046 7802232 8640016 9102604 10728069 12960024 13653906 14304092 15604464 18205208 21456138 25032161 25920048 27307812 28608184 36410416 42912276 50064322 54615624 57216368 75096483 85824552 100128644 109231248 150192966 171649104 200257288 300385932 400514576 600771864 1201543728 2279877209 4559754418 6839631627 9119508836 13679263254 15959140463 18239017672 25078649299 27358526508 31918280926 36478035344 47877421389 50157298598 54717053016 63836561852 75235947897 95754842778 100314597196 109434106032 127673123704 150471895794 175550545093 191509685556 200629194392 255346247408 300943791588 351101090186 383019371112 401258388784 526651635279 601887583176 702202180372 766038742224 1053303270558 1203775166352 1404404360744 2106606541116 2808808721488 4213213082232 8426426164464