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10384668281940 = 2235665925991561
BaseRepresentation
bin1001011100011101111001…
…1101101100110001010100
31100202202122101110122111120
42113013132131230301110
52330120300040010230
634030352321203540
72121160521653661
oct227073635546124
940682571418446
1010384668281940
113344127576747
1211b87504905b0
135a43682c5a34
1427c898ddca68
151301e0850310
hex971de76cc54

10384668281940 has 48 divisors (see below), whose sum is σ = 29081438890560. Its totient is φ = 2768828903680.

The previous prime is 10384668281873. The next prime is 10384668281959. The reversal of 10384668281940 is 4918286648301.

It is a happy number.

It is a super-3 number, since 3×103846682819403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12596241 + ... + 13395320.

It is an arithmetic number, because the mean of its divisors is an integer number (605863310220).

Almost surely, 210384668281940 is an apocalyptic number.

10384668281940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10384668281940 is an abundant number, since it is smaller than the sum of its proper divisors (18696770608620).

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

10384668281940 is a wasteful number, since it uses less digits than its factorization.

10384668281940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25998232 (or 25998230 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 10384668281940 in words is "ten trillion, three hundred eighty-four billion, six hundred sixty-eight million, two hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6659 13318 19977 26636 33295 39954 66590 79908 99885 133180 199770 399540 25991561 51983122 77974683 103966244 129957805 155949366 259915610 311898732 389873415 519831220 779746830 1559493660 173077804699 346155609398 519233414097 692311218796 865389023495 1038466828194 1730778046990 2076933656388 2596167070485 3461556093980 5192334140970 10384668281940