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93809413824 = 2637103677657
BaseRepresentation
bin101011101011101111…
…0100000111011000000
322222010201221222111020
41113113132200323000
53014110202220244
6111032341145440
76530453601210
oct1272736407300
9288121858436
1093809413824
1136869a72085
12162206bb280
138b001044b9
14477cc00240
152690a06d19
hex15d77a0ec0

93809413824 has 112 divisors (see below), whose sum is σ = 286416219648. Its totient is φ = 26542430208.

The previous prime is 93809413801. The next prime is 93809413843. The reversal of 93809413824 is 42831490839.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×938094138242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200397 + ... + 477260.

Almost surely, 293809413824 is an apocalyptic number.

It is an amenable number.

93809413824 is an abundant number, since it is smaller than the sum of its proper divisors (192606805824).

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

93809413824 is a wasteful number, since it uses less digits than its factorization.

93809413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677782 (or 677772 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 93809413824 in words is "ninety-three billion, eight hundred nine million, four hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2884 3296 4326 4944 5768 6592 8652 9888 11536 17304 19776 23072 34608 46144 69216 138432 677657 1355314 2032971 2710628 4065942 4743599 5421256 8131884 9487198 10842512 14230797 16263768 18974396 21685024 28461594 32527536 37948792 43370048 56923188 65055072 69798671 75897584 113846376 130110144 139597342 151795168 209396013 227692752 279194684 303590336 418792026 455385504 488590697 558389368 837584052 910771008 977181394 1116778736 1465772091 1675168104 1954362788 2233557472 2931544182 3350336208 3908725576 4467114944 5863088364 6700672416 7817451152 11726176728 13401344832 15634902304 23452353456 31269804608 46904706912 93809413824