Search a number
-
+
270016706260320 = 25351703333026173
BaseRepresentation
bin111101011001010000101001…
…110111000010110101100000
31022102001100022112000210012020
4331121100221313002311200
5240342423203300312240
62354135543514101440
7110606030460665055
oct7531205167026540
91272040275023166
10270016706260320
11790434953aa088
122634b06871a880
13b78860a170806
144a96c4214502c
152133b4a5880d0
hexf59429dc2d60

270016706260320 has 96 divisors (see below), whose sum is σ = 850602586048992. Its totient is φ = 72000225472512.

The previous prime is 270016706260313. The next prime is 270016706260373. The reversal of 270016706260320 is 23062607610072.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 8337247 + ... + 24688926.

It is an arithmetic number, because the mean of its divisors is an integer number (8860443604677).

Almost surely, 2270016706260320 is an apocalyptic number.

270016706260320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270016706260320 is an abundant number, since it is smaller than the sum of its proper divisors (580585879788672).

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

270016706260320 is a wasteful number, since it uses less digits than its factorization.

270016706260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33043224 (or 33043216 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 270016706260320 in words is "two hundred seventy trillion, sixteen billion, seven hundred six million, two hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 17033 34066 51099 68132 85165 102198 136264 170330 204396 255495 272528 340660 408792 510990 545056 681320 817584 1021980 1362640 1635168 2043960 2725280 4087920 8175840 33026173 66052346 99078519 132104692 165130865 198157038 264209384 330261730 396314076 495392595 528418768 660523460 792628152 990785190 1056837536 1321046920 1585256304 1981570380 2642093840 3170512608 3963140760 5284187680 7926281520 15852563040 562534804709 1125069609418 1687604414127 2250139218836 2812674023545 3375208828254 4500278437672 5625348047090 6750417656508 8438022070635 9000556875344 11250696094180 13500835313016 16876044141270 18001113750688 22501392188360 27001670626032 33752088282540 45002784376720 54003341252064 67504176565080 90005568753440 135008353130160 270016706260320