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4983336820944 = 2432577593101141
BaseRepresentation
bin100100010000100011000…
…0001010110000011010000
3122122101212022101220222100
41020201012001112003100
51123121333211232234
614333151402440400
71023014506035156
oct110410601260320
918571768356870
104983336820944
11165146a7a14a9
12685979503100
132a1c07ac14c1
141332a27033d6
15899648cd399
hex488460560d0

4983336820944 has 120 divisors (see below), whose sum is σ = 13994289913032. Its totient is φ = 1655420682240.

The previous prime is 4983336820939. The next prime is 4983336820981. The reversal of 4983336820944 is 4490286333894.

4983336820944 is a `hidden beast` number, since 4 + 98 + 3 + 336 + 8 + 209 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3387440250000 + 1595896570944 = 1840500^2 + 1263288^2 .

It is a super-2 number, since 2×49833368209442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49220614 + ... + 49321754.

Almost surely, 24983336820944 is an apocalyptic number.

It is an amenable number.

4983336820944 is an abundant number, since it is smaller than the sum of its proper divisors (9010953092088).

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

4983336820944 is a wasteful number, since it uses less digits than its factorization.

4983336820944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102325 (or 102316 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 4983336820944 in words is "four trillion, nine hundred eighty-three billion, three hundred thirty-six million, eight hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 577 593 1154 1186 1731 1779 2308 2372 3462 3558 4616 4744 5193 5337 6924 7116 9232 9488 10386 10674 13848 14232 20772 21348 27696 28464 41544 42696 83088 85392 101141 202282 303423 342161 404564 606846 684322 809128 910269 1026483 1213692 1368644 1618256 1820538 2052966 2427384 2737288 3079449 3641076 4105932 4854768 5474576 6158898 7282152 8211864 12317796 14564304 16423728 24635592 49271184 58358357 59976613 116716714 119953226 175075071 179929839 233433428 239906452 350150142 359859678 466866856 479812904 525225213 539789517 700300284 719719356 933733712 959625808 1050450426 1079579034 1400600568 1439438712 2100900852 2159158068 2801201136 2878877424 4201801704 4318316136 8403603408 8636632272 34606505701 69213011402 103819517103 138426022804 207639034206 276852045608 311458551309 415278068412 553704091216 622917102618 830556136824 1245834205236 1661112273648 2491668410472 4983336820944