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204033334331320 = 2351321912827347
BaseRepresentation
bin101110011001000100110110…
…011010100100011110111000
3222202102101200212202020120021
4232121010312122210132320
5203220340232042100240
62001535341513540224
760655631141420224
oct5631046632443670
9882371625666507
10204033334331320
115a01406210146a
121aa7303aa14674
1389b0351192300
1438553a2163784
15188c59675854a
hexb991366a47b8

204033334331320 has 144 divisors (see below), whose sum is σ = 499721757869880. Its totient is φ = 74940868304640.

The previous prime is 204033334331303. The next prime is 204033334331377. The reversal of 204033334331320 is 23133433330402.

204033334331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246197887 + ... + 247025233.

Almost surely, 2204033334331320 is an apocalyptic number.

204033334331320 is a gapful number since it is divisible by the number (20) 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 204033334331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249860878934940).

204033334331320 is an abundant number, since it is smaller than the sum of its proper divisors (295688423538560).

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

204033334331320 is a wasteful number, since it uses less digits than its factorization.

204033334331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827766 (or 827558 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 34.

Adding to 204033334331320 its reverse (23133433330402), we get a palindrome (227166767661722).

The spelling of 204033334331320 in words is "two hundred four trillion, thirty-three billion, three hundred thirty-four million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 191 260 338 382 520 676 764 845 955 1352 1528 1690 1910 2483 3380 3820 4966 6760 7640 9932 12415 19864 24830 32279 36481 49660 64558 72962 99320 129116 145924 161395 182405 258232 291848 322790 364810 474253 645580 729620 827347 948506 1291160 1459240 1654694 1897012 2371265 3309388 3794024 4136735 4742530 6165289 6618776 8273470 9485060 10755511 12330578 16546940 18970120 21511022 24661156 30826445 33093880 43022044 49322312 53777555 61652890 86044088 107555110 123305780 139821643 158023277 215110220 246611560 279643286 316046554 430220440 559286572 632093108 699108215 790116385 1118573144 1264186216 1398216430 1580232770 2054302601 2796432860 3160465540 4108605202 5592865720 6320931080 8217210404 10271513005 16434420808 20543026010 26705933813 30182445907 41086052020 53411867626 60364891814 82172104040 106823735252 120729783628 133529669065 150912229535 213647470504 241459567256 267059338130 301824459070 392371796791 534118676260 603648918140 784743593582 1068237352520 1207297836280 1569487187164 1961858983955 3138974374328 3923717967910 5100833358283 7847435935820 10201666716566 15694871871640 20403333433132 25504166791415 40806666866264 51008333582830 102016667165660 204033334331320