Search a number
-
+
90807392436936 = 23375337963268643
BaseRepresentation
bin10100101001011010111110…
…010111101000001011001000
3102220112002202022101201111120
4110221122332113220023020
543400242014430440221
6521044201251355240
725061421560121150
oct2451327627501310
9386462668351446
1090807392436936
1126a3022076116a
12a2270b7bb2b20
133b8913c664036
14185d15bb5b760
15a77196b555c6
hex5296be5e82c8

90807392436936 has 128 divisors (see below), whose sum is σ = 264352917150720. Its totient is φ = 25454676259584.

The previous prime is 90807392436913. The next prime is 90807392436953. The reversal of 90807392436936 is 63963429370809.

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, 337888231 + ... + 338156873.

It is an arithmetic number, because the mean of its divisors is an integer number (2065257165240).

Almost surely, 290807392436936 is an apocalyptic number.

It is an amenable number.

90807392436936 is an abundant number, since it is smaller than the sum of its proper divisors (173545524713784).

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

90807392436936 is a wasteful number, since it uses less digits than its factorization.

90807392436936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306675 (or 306671 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 69.

The spelling of 90807392436936 in words is "ninety trillion, eight hundred seven billion, three hundred ninety-two million, four hundred thirty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 37963 75926 113889 151852 227778 265741 268643 303704 455556 531482 537286 797223 805929 911112 1062964 1074572 1594446 1611858 1880501 2012039 2125928 2149144 3188892 3223716 3761002 4024078 5641503 6036117 6377784 6447432 7522004 8048156 11283006 12072234 14084273 14238079 15044008 16096312 22566012 24144468 28168546 28476158 42252819 42714237 45132024 48288936 56337092 56952316 84505638 85428474 99666553 112674184 113904632 169011276 170856948 199333106 298999659 338022552 341713896 398666212 597999318 797332424 1195998636 2391997272 10198494209 20396988418 30595482627 40793976836 61190965254 71389459463 81587953672 122381930508 142778918926 214168378389 244763861016 285557837852 428336756778 540520193077 571115675704 856673513556 1081040386154 1621560579231 1713347027112 2162080772308 3243121158462 3783641351539 4324161544616 6486242316924 7567282703078 11350924054617 12972484633848 15134565406156 22701848109234 30269130812312 45403696218468 90807392436936