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538106664773664 = 25327463003576493
BaseRepresentation
bin111101001011001111011100…
…0100110101110100000100000
32121120021111100200020201201200
41322112132320212232200200
51031012314422140224124
65144242442241201200
7221225631534235020
oct17226367046564040
92546244320221650
10538106664773664
11146503833942268
1250428815330200
131a134318c29b7c
1496c470431da80
1542325c8a24bc9
hex1e967b89ae820

538106664773664 has 144 divisors (see below), whose sum is σ = 1748853471298752. Its totient is φ = 153744162614784.

The previous prime is 538106664773611. The next prime is 538106664773669. The reversal of 538106664773664 is 466377466601835.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 538106664773592 and 538106664773601.

It is not an unprimeable number, because it can be changed into a prime (538106664773669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933125802 + ... + 933702294.

It is an arithmetic number, because the mean of its divisors is an integer number (12144815772908).

Almost surely, 2538106664773664 is an apocalyptic number.

It is an amenable number.

538106664773664 is an abundant number, since it is smaller than the sum of its proper divisors (1210746806525088).

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

538106664773664 is a wasteful number, since it uses less digits than its factorization.

538106664773664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039519 (or 1039508 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 72.

The spelling of 538106664773664 in words is "five hundred thirty-eight trillion, one hundred six billion, six hundred sixty-four million, seven hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 463003 576493 926006 1152986 1389009 1729479 1852012 2305972 2778018 3241021 3458958 3704024 4035451 4167027 4611944 5188437 5556036 6482042 6917916 7408048 8070902 8334054 9223888 9723063 10376874 11112072 12106353 12964084 13835832 14816096 16141804 16668108 18447776 19446126 20753748 22224144 24212706 25928168 27671664 29169189 32283608 33336216 36319059 38892252 41507496 44448288 48425412 51856336 55343328 58338378 64567216 66672432 72638118 77784504 83014992 96850824 103712672 116676756 129134432 133344864 145276236 155569008 166029984 193701648 233353512 290552472 311138016 387403296 466707024 581104944 933414048 1162209888 266917988479 533835976958 800753965437 1067671953916 1601507930874 1868425919353 2135343907832 2402261896311 3203015861748 3736851838706 4270687815664 4804523792622 5605277758059 6406031723496 7473703677412 8541375631328 9609047585244 11210555516118 12812063446992 14947407354824 16815833274177 19218095170488 22421111032236 25624126893984 29894814709648 33631666548354 38436190340976 44842222064472 59789629419296 67263333096708 76872380681952 89684444128944 134526666193416 179368888257888 269053332386832 538106664773664