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163042644314256 = 243721120531120187
BaseRepresentation
bin100101000100100101010010…
…111001011100100010010000
3210101021201120012202221102120
4211010211102321130202100
5132332242313421024011
61334432431244214240
746225304501213640
oct4504452271344220
9711251505687376
10163042644314256
1147a4aaa7225483
121635290b83a380
136cc8b17393c75
142c3943dca8520
1513cb1a77d3a06
hex944952e5c890

163042644314256 has 160 divisors (see below), whose sum is σ = 483881355230208. Its totient is φ = 46340212907520.

The previous prime is 163042644314191. The next prime is 163042644314267. The reversal of 163042644314256 is 652413446240361.

It is a junction number, because it is equal to n+sod(n) for n = 163042644314199 and 163042644314208.

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, 144989395 + ... + 146109581.

Almost surely, 2163042644314256 is an apocalyptic number.

163042644314256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163042644314256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241940677615104).

163042644314256 is an abundant number, since it is smaller than the sum of its proper divisors (320838710915952).

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

163042644314256 is a wasteful number, since it uses less digits than its factorization.

163042644314256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122469 (or 1122463 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 163042644314256 in words is "one hundred sixty-three trillion, forty-two billion, six hundred forty-four million, three hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 211 336 422 633 844 1266 1477 1688 2053 2532 2954 3376 4106 4431 5064 5908 6159 8212 8862 10128 11816 12318 14371 16424 17724 23632 24636 28742 32848 35448 43113 49272 57484 70896 86226 98544 114968 172452 229936 344904 433183 689808 866366 1120187 1299549 1732732 2240374 2599098 3032281 3360561 3465464 4480748 5198196 6064562 6721122 6930928 7841309 8961496 9096843 10396392 12129124 13442244 15682618 17922992 18193686 20792784 23523927 24258248 26884488 31365236 36387372 47047854 48516496 53768976 62730472 72774744 94095708 125460944 145549488 188191416 236359457 376382832 472718914 709078371 945437828 1418156742 1654516199 1890875656 2299743911 2836313484 3309032398 3781751312 4599487822 4963548597 5672626968 6618064796 6899231733 9198975644 9927097194 11345253936 13236129592 13798463466 16098207377 18397951288 19854194388 26472259184 27596926932 32196414754 36795902576 39708388776 48294622131 55193853864 64392829508 79416777552 96589244262 110387707728 128785659016 193178488524 257571318032 386356977048 485245965221 772713954096 970491930442 1455737895663 1940983860884 2911475791326 3396721756547 3881967721768 5822951582652 6793443513094 7763935443536 10190165269641 11645903165304 13586887026188 20380330539282 23291806330608 27173774052376 40760661078564 54347548104752 81521322157128 163042644314256