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10688329485 = 35523393761
BaseRepresentation
bin10011111010001001…
…01111011100001101
31000120212222101200000
421331010233130031
5133342203020420
64524331554513
7525603205311
oct117504573415
930525871600
1010688329485
114595313159
1220a35bba39
1310144a1822
1473573db41
15428527690
hex27d12f70d

10688329485 has 48 divisors (see below), whose sum is σ = 19225926720. Its totient is φ = 5696490240.

The previous prime is 10688329481. The next prime is 10688329499. The reversal of 10688329485 is 58492388601.

10688329485 is a `hidden beast` number, since 1 + 0 + 68 + 83 + 29 + 485 = 666.

It is not a de Polignac number, because 10688329485 - 22 = 10688329481 is a prime.

It is a super-2 number, since 2×106883294852 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10688329481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2840005 + ... + 2843765.

It is an arithmetic number, because the mean of its divisors is an integer number (400540140).

Almost surely, 210688329485 is an apocalyptic number.

10688329485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10688329485 is a deficient number, since it is larger than the sum of its proper divisors (8537597235).

10688329485 is an equidigital number, since it uses as much as digits as its factorization.

10688329485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10688329485 in words is "ten billion, six hundred eighty-eight million, three hundred twenty-nine thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 2339 3761 7017 11283 11695 18805 21051 33849 35085 56415 63153 101547 105255 169245 189459 304641 315765 507735 568377 913923 947295 1523205 2841885 4569615 8796979 26390937 43984895 79172811 131954685 237518433 395864055 712555299 1187592165 2137665897 3562776495 10688329485