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38468334537540 = 2234531765996307
BaseRepresentation
bin10001011111100100110110…
…11010100100101101000100
312001012112111101010201020000
420233302123122210231010
520020231122120200130
6213452035305441300
711050150122321435
oct1057623332445504
9161175441121200
1038468334537540
1111291368a850a6
1243935074a0230
131860718a42c2b
1496dc3d54d48c
1546a9b2918260
hex22fc9b6a4b44

38468334537540 has 120 divisors (see below), whose sum is σ = 124569383592192. Its totient is φ = 9927312125760.

The previous prime is 38468334537539. The next prime is 38468334537599. The reversal of 38468334537540 is 4573543386483.

38468334537540 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 8 + 3 + 34 + 53 + 7 + 540 = 666.

38468334537540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382947934 + ... + 383048373.

Almost surely, 238468334537540 is an apocalyptic number.

38468334537540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38468334537540 is an abundant number, since it is smaller than the sum of its proper divisors (86101049054652).

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

38468334537540 is a wasteful number, since it uses less digits than its factorization.

38468334537540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765996359 (or 765996348 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 63.

The spelling of 38468334537540 in words is "thirty-eight trillion, four hundred sixty-eight billion, three hundred thirty-four million, five hundred thirty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 25110 50220 765996307 1531992614 2297988921 3063985228 3829981535 4595977842 6893966763 7659963070 9191955684 11489944605 13787933526 15319926140 20681900289 22979889210 23745885517 27575867052 34469833815 41363800578 45959778420 47491771034 62045700867 68939667630 71237656551 82727601156 94983542068 103409501445 118729427585 124091401734 137879335260 142475313102 206819002890 213712969653 237458855170 248182803468 284950626204 310228504335 356188282755 413638005780 427425939306 474917710340 620457008670 641138908959 712376565510 854851878612 1068564848265 1240914017340 1282277817918 1424753131020 1923416726877 2137129696530 2564555635836 3205694544795 3846833453754 4274259393060 6411389089590 7693666907508 9617083634385 12822778179180 19234167268770 38468334537540