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20003624035164 = 223271153136156879
BaseRepresentation
bin1001000110001011101001…
…11001111010001101011100
32121211022211221201120022100
410203011310321322031130
510110214410223111124
6110313312113445100
74133133310560030
oct443056471721534
977738757646270
1020003624035164
116412542302320
1222b0a05270790
13b2144505ab43
144d22756a61c0
1524a5180e41c9
hex123174e7a35c

20003624035164 has 144 divisors (see below), whose sum is σ = 64231191198720. Its totient is φ = 5097713512320.

The previous prime is 20003624035163. The next prime is 20003624035177. The reversal of 20003624035164 is 46153042630002.

20003624035164 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 6 + 240 + 351 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20003624035163) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67931524 + ... + 68225355.

It is an arithmetic number, because the mean of its divisors is an integer number (446049938880).

Almost surely, 220003624035164 is an apocalyptic number.

It is an amenable number.

20003624035164 is an abundant number, since it is smaller than the sum of its proper divisors (44227567163556).

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

20003624035164 is a wasteful number, since it uses less digits than its factorization.

20003624035164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136156960 (or 136156955 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 20003624035164 its reverse (46153042630002), we get a palindrome (66156666665166).

The spelling of 20003624035164 in words is "twenty trillion, three billion, six hundred twenty-four million, thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 53 63 66 77 84 99 106 126 132 154 159 198 212 231 252 308 318 371 396 462 477 583 636 693 742 924 954 1113 1166 1386 1484 1749 1908 2226 2332 2772 3339 3498 4081 4452 5247 6678 6996 8162 10494 12243 13356 16324 20988 24486 36729 48972 73458 146916 136156879 272313758 408470637 544627516 816941274 953098153 1225411911 1497725669 1633882548 1906196306 2450823822 2859294459 2995451338 3812392612 4493177007 4901647644 5718588918 5990902676 7216314587 8577883377 8986354014 10484079683 11437177836 13479531021 14432629174 17155766754 17972708028 20968159366 21648943761 26959062042 28865258348 31452239049 34311533508 41936318732 43297887522 50514202109 53918124084 62904478098 64946831283 79379460457 86595775044 94356717147 101028404218 125808956196 129893662566 151542606327 158758920914 188713434294 202056808436 238138381371 259787325132 303085212654 317517841828 377426868588 454627818981 476276762742 555656223199 606170425308 714415144113 909255637962 952553525484 1111312446398 1428830288226 1666968669597 1818511275924 2222624892796 2857660576452 3333937339194 5000906008791 6667874678388 10001812017582 20003624035164