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31243496807664 = 24331741103763141
BaseRepresentation
bin1110001101010011100011…
…00001110101110011110000
311002121211221000022122022000
413012221301201311303300
513043343140140321124
6150241021515214000
76403160656015461
oct706516141656360
9132554830278260
1031243496807664
119a56324482579
123607247a47300
131458331398a6b
147a029c64cd68
15392aad4776c9
hex1c6a71875cf0

31243496807664 has 160 divisors (see below), whose sum is σ = 97271719836480. Its totient is φ = 9562810982400.

The previous prime is 31243496807659. The next prime is 31243496807683. The reversal of 31243496807664 is 46670869434213.

31243496807664 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 3 + 496 + 80 + 7 + 6 + 64 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 51580467 + ... + 52182674.

It is an arithmetic number, because the mean of its divisors is an integer number (607948248978).

Almost surely, 231243496807664 is an apocalyptic number.

31243496807664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31243496807664 is an abundant number, since it is smaller than the sum of its proper divisors (66028223028816).

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

31243496807664 is a wasteful number, since it uses less digits than its factorization.

31243496807664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103763216 (or 103763204 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 31243496807664 in words is "thirty-one trillion, two hundred forty-three billion, four hundred ninety-six million, eight hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 41 48 51 54 68 72 82 102 108 123 136 144 153 164 204 216 246 272 306 328 369 408 432 459 492 612 656 697 738 816 918 984 1107 1224 1394 1476 1836 1968 2091 2214 2448 2788 2952 3672 4182 4428 5576 5904 6273 7344 8364 8856 11152 12546 16728 17712 18819 25092 33456 37638 50184 75276 100368 150552 301104 103763141 207526282 311289423 415052564 622578846 830105128 933868269 1245157692 1660210256 1763973397 1867736538 2490315384 2801604807 3527946794 3735473076 4254288781 4980630768 5291920191 5603209614 7055893588 7470946152 8508577562 10583840382 11206419228 12762866343 14111787176 14941892304 15875760573 17017155124 21167680764 22412838456 25525732686 28223574352 31751521146 34034310248 38288599029 42335361528 44825676912 47627281719 51051465372 63503042292 68068620496 72322909277 76577198058 84670723056 95254563438 102102930744 114865797087 127006084584 144645818554 153154396116 190509126876 204205861488 216968727831 229731594174 254012169168 289291637108 306308792232 381018253752 433937455662 459463188348 578583274216 612617584464 650906183493 762036507504 867874911324 918926376696 1157166548432 1301812366986 1735749822648 1837852753392 1952718550479 2603624733972 3471499645296 3905437100958 5207249467944 7810874201916 10414498935888 15621748403832 31243496807664