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20323256243436 = 2232191031511190913
BaseRepresentation
bin1001001111011111000000…
…11110000001010011101100
32122221212212200010002220100
410213233200132001103230
510130434012044242221
6111120213001151100
74165210143531246
oct447574036012354
978855780102810
1020323256243436
116526054361233
12234294948b490
13b456232bbc23
14503917d11096
152539c40bd926
hex127be07814ec

20323256243436 has 144 divisors (see below), whose sum is σ = 54637937303040. Its totient is φ = 6351321507840.

The previous prime is 20323256243399. The next prime is 20323256243467. The reversal of 20323256243436 is 63434265232302.

20323256243436 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 3 + 2 + 562 + 43 + 43 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20323256243391 and 20323256243400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106357516 + ... + 106548428.

It is an arithmetic number, because the mean of its divisors is an integer number (379430120160).

Almost surely, 220323256243436 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 20323256243436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27318968651520).

20323256243436 is an abundant number, since it is smaller than the sum of its proper divisors (34314681059604).

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

20323256243436 is a wasteful number, since it uses less digits than its factorization.

20323256243436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192556 (or 192551 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 45.

The spelling of 20323256243436 in words is "twenty trillion, three hundred twenty-three billion, two hundred fifty-six million, two hundred forty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 171 206 228 309 342 412 618 684 927 1236 1511 1854 1957 3022 3708 3914 4533 5871 6044 7828 9066 11742 13599 17613 18132 23484 27198 28709 35226 54396 57418 70452 86127 114836 155633 172254 190913 258381 311266 344508 381826 466899 516762 572739 622532 763652 933798 1033524 1145478 1400697 1718217 1867596 2290956 2801394 2957027 3436434 3627347 5602788 5914054 6872868 7254694 8871081 10882041 11828108 14509388 17742162 19664039 21764082 26613243 32646123 35484324 39328078 43528164 53226486 58992117 65292246 78656156 106452972 117984234 130584492 176976351 235968468 288469543 353952702 373616741 576939086 707905404 747233482 865408629 1120850223 1153878172 1494466964 1730817258 2241700446 2596225887 3362550669 3461634516 4483400892 5192451774 5480921317 6725101338 10384903548 10961842634 13450202676 16442763951 21923685268 29712362929 32885527902 49328291853 59424725858 65771055804 89137088787 98656583706 118849451716 178274177574 197313167412 267411266361 356548355148 534822532722 564534895651 1069645065444 1129069791302 1693604686953 2258139582604 3387209373906 5080814060859 6774418747812 10161628121718 20323256243436