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5461302273984 = 26341831357527
BaseRepresentation
bin100111101111000111011…
…1110110110011111000000
3201100002120112201200020000
41033132032332312133000
51203434221340231414
615340515421120000
71102365106252044
oct117361676663700
921302515650200
105461302273984
111816141837707
1274252b0b9000
13307cc9bb27bb
1414c485352024
15970dad5bb09
hex4f78efb67c0

5461302273984 has 140 divisors (see below), whose sum is σ = 16190176259664. Its totient is φ = 1820303041536.

The previous prime is 5461302273971. The next prime is 5461302274009. The reversal of 5461302273984 is 4893722031645.

5461302273984 is a `hidden beast` number, since 5 + 4 + 61 + 302 + 273 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5461302273984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94905829 + ... + 94963355.

It is a 1-persistent number, because it is pandigital, but 2⋅5461302273984 = 10922604547968 is not.

Almost surely, 25461302273984 is an apocalyptic number.

5461302273984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5461302273984 is an abundant number, since it is smaller than the sum of its proper divisors (10728873985680).

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

5461302273984 is a wasteful number, since it uses less digits than its factorization.

5461302273984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75864 (or 75845 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5461302273984 in words is "five trillion, four hundred sixty-one billion, three hundred two million, two hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 18313 36626 54939 57527 73252 109878 115054 146504 164817 172581 219756 230108 293008 329634 345162 439512 460216 494451 517743 586016 659268 690324 879024 920432 988902 1035486 1172032 1318536 1380648 1483353 1553229 1758048 1840864 1977804 2070972 2637072 2761296 2966706 3106458 3516096 3681728 3955608 4141944 4659687 5274144 5522592 5933412 6212916 7911216 8283888 9319374 10548288 11045184 11866824 12425832 15822432 16567776 18638748 23733648 24851664 31644864 33135552 37277496 47467296 49703328 74554992 94934592 99406656 149109984 298219968 1053491951 2106983902 3160475853 4213967804 6320951706 8427935608 9481427559 12641903412 16855871216 18962855118 25283806824 28444282677 33711742432 37925710236 50567613648 56888565354 67423484864 75851420472 85332848031 101135227296 113777130708 151702840944 170665696062 202270454592 227554261416 303405681888 341331392124 455108522832 606811363776 682662784248 910217045664 1365325568496 1820434091328 2730651136992 5461302273984