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1318731739884 = 223513128381343
BaseRepresentation
bin10011001100001010100…
…010010111001011101100
311200001212200102102200000
4103030022202113023230
5133101230311134014
62445452245504300
7164163254561046
oct23141242271354
94601780372600
101318731739884
114692a8762659
121936b4712090
1397481acacb0
1447b81252a96
1524483670509
hex1330a8972ec

1318731739884 has 144 divisors (see below), whose sum is σ = 3725786867712. Its totient is φ = 405442366272.

The previous prime is 1318731739883. The next prime is 1318731739907. The reversal of 1318731739884 is 4889371378131.

1318731739884 is a `hidden beast` number, since 1 + 318 + 73 + 173 + 9 + 8 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (1318731739883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16171317 + ... + 16252659.

Almost surely, 21318731739884 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 1318731739884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862893433856).

1318731739884 is an abundant number, since it is smaller than the sum of its proper divisors (2407055127828).

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

1318731739884 is a wasteful number, since it uses less digits than its factorization.

1318731739884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82658 (or 82644 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 1318731739884 in words is "one trillion, three hundred eighteen billion, seven hundred thirty-one million, seven hundred thirty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1283 1404 2106 2566 3159 3849 4212 5132 6318 7698 11547 12636 15396 16679 23094 33358 34641 46188 50037 66716 69282 81343 100074 103923 138564 150111 162686 200148 207846 244029 300222 311769 325372 415692 450333 488058 600444 623538 732087 900666 976116 1057459 1247076 1350999 1464174 1801332 2114918 2196261 2701998 2928348 3172377 4052997 4229836 4392522 5403996 6344754 6588783 8105994 8785044 9517131 12689508 13177566 16211988 19034262 19766349 26355132 28551393 38068524 39532698 57102786 79065396 85654179 104363069 114205572 171308358 208726138 256962537 313089207 342616716 417452276 513925074 626178414 939267621 1027850148 1252356828 1356719897 1878535242 2713439794 2817802863 3757070484 4070159691 5426879588 5635605726 8140319382 8453408589 11271211452 12210479073 16280638764 16906817178 24420958146 25360225767 33813634356 36631437219 48841916292 50720451534 73262874438 101440903068 109894311657 146525748876 219788623314 329682934971 439577246628 659365869942 1318731739884