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243120526661072 = 241943457137329641
BaseRepresentation
bin110111010001110111101000…
…101000010001010111010000
31011212211002120112000010000002
4313101313220220101113100
5223331241314311123242
62221024010021545132
7102131610202346024
oct6721675050212720
91155732515003002
10243120526661072
11705139221854a5
12233264785751a8
13a5872236cbc68
14440714c274384
151d191c9838432
hexdd1de8a115d0

243120526661072 has 160 divisors (see below), whose sum is σ = 508866756097920. Its totient is φ = 112152494039040.

The previous prime is 243120526661017. The next prime is 243120526661179. The reversal of 243120526661072 is 270166625021342.

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, 8202155372 + ... + 8202185012.

It is an arithmetic number, because the mean of its divisors is an integer number (3180417225612).

Almost surely, 2243120526661072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243120526661072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254433378048960).

243120526661072 is an abundant number, since it is smaller than the sum of its proper divisors (265746229436848).

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

243120526661072 is a wasteful number, since it uses less digits than its factorization.

243120526661072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31541 (or 31535 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 243120526661072 in words is "two hundred forty-three trillion, one hundred twenty billion, five hundred twenty-six million, six hundred sixty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 457 688 817 914 1373 1634 1828 2746 3268 3656 5492 6536 7312 8683 10984 13072 17366 19651 21968 26087 29641 34732 39302 52174 59039 59282 69464 78604 104348 118078 118564 138928 157208 208696 236156 237128 314416 373369 417392 472312 474256 563179 627461 746738 944624 1121741 1126358 1254922 1274563 1493476 2243482 2252716 2509844 2549126 2986952 4486964 4505432 5019688 5098252 5973904 8973928 9010864 10039376 10196504 11921759 13545937 17947856 20393008 23843518 24216697 26980823 27091874 40697093 47687036 48433394 53961646 54183748 81394186 95374072 96866788 107923292 108367496 162788372 190748144 193733576 215846584 216734992 257372803 325576744 387467152 431693168 512635637 514745606 582475291 651153488 773244767 1025271274 1029491212 1164950582 1546489534 1749974999 2050542548 2058982424 2329901164 3092979068 3499949998 4101085096 4117964848 4659802328 6185958136 6999899996 8202170192 9319604656 11067030529 12371916272 13999799992 18598571501 22134061058 27999599984 33249524981 37197143002 44268122116 66499049962 74394286004 88536244232 132998099924 148788572008 177072488464 265996199848 297577144016 353372858519 531992399696 706745717038 799738574543 1413491434076 1599477149086 2826982868152 3198954298172 5653965736304 6397908596344 12795817192688 15195032916317 30390065832634 60780131665268 121560263330536 243120526661072