Search a number
-
+
168265675776144 = 24329435353041033
BaseRepresentation
bin100110010000100101100111…
…110101010010000010010000
3211001210001010020221020112010
4212100211213311102002100
5134023331100444314034
61353512103451102520
750304536210140242
oct4620454765220220
9731701106836463
10168265675776144
1149684088331361
1216a57022441a40
1372b7501200a4b
142d7a160490092
15146be9a4013e9
hex990967d52090

168265675776144 has 160 divisors (see below), whose sum is σ = 468814848036480. Its totient is φ = 51897043021824.

The previous prime is 168265675776113. The next prime is 168265675776157. The reversal of 168265675776144 is 441677576562861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23348149 + ... + 29692884.

It is an arithmetic number, because the mean of its divisors is an integer number (2930092800228).

Almost surely, 2168265675776144 is an apocalyptic number.

It is an amenable number.

168265675776144 is an abundant number, since it is smaller than the sum of its proper divisors (300549172260336).

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

168265675776144 is a wasteful number, since it uses less digits than its factorization.

168265675776144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53041169 (or 53041163 counting only the distinct ones).

The product of its digits is 2844979200, while the sum is 75.

The spelling of 168265675776144 in words is "one hundred sixty-eight trillion, two hundred sixty-five billion, six hundred seventy-five million, seven hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 53 58 86 87 106 116 129 159 172 174 212 232 258 318 344 348 424 464 516 636 688 696 848 1032 1247 1272 1392 1537 2064 2279 2494 2544 3074 3741 4558 4611 4988 6148 6837 7482 9116 9222 9976 12296 13674 14964 18232 18444 19952 24592 27348 29928 36464 36888 54696 59856 66091 73776 109392 132182 198273 264364 396546 528728 793092 1057456 1586184 3172368 53041033 106082066 159123099 212164132 318246198 424328264 636492396 848656528 1272984792 1538189957 2280764419 2545969584 2811174749 3076379914 4561528838 4614569871 5622349498 6152759828 6842293257 8433524247 9123057676 9229139742 11244698996 12305519656 13684586514 16867048494 18246115352 18458279484 22489397992 24611039312 27369173028 33734096988 36492230704 36916558968 44978795984 54738346056 66142168151 67468193976 73833117936 81524067721 109476692112 120880514207 132284336302 134936387952 163048135442 198426504453 241761028414 244572203163 264568672604 326096270884 362641542621 396853008906 483522056828 489144406326 529137345208 652192541768 725283085242 793706017812 967044113656 978288812652 1058274690416 1304385083536 1450566170484 1587412035624 1934088227312 1956577625304 2901132340968 3174824071248 3505534912003 3913155250608 5802264681936 7011069824006 10516604736009 14022139648012 21033209472018 28044279296024 42066418944036 56088558592048 84132837888072 168265675776144