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1688969054808 = 233274960367559
BaseRepresentation
bin11000100100111110011…
…001101000101001011000
312222110112011020202011100
4120210332121220221120
5210133002034223213
63331522432231400
7233011141043340
oct30447631505130
95873464222140
101688969054808
115a1319000162
1223340039b560
13c3366294b79
145ba64703d20
152de021ba773
hex1893e668a58

1688969054808 has 96 divisors (see below), whose sum is σ = 5227944134400. Its totient is φ = 482545715904.

The previous prime is 1688969054803. The next prime is 1688969054819. The reversal of 1688969054808 is 8084509698861.

1688969054808 is a `hidden beast` number, since 1 + 6 + 8 + 89 + 69 + 0 + 5 + 480 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688969054803) 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 23 ways as a sum of consecutive naturals, for example, 24966133 + ... + 25033691.

It is an arithmetic number, because the mean of its divisors is an integer number (54457751400).

Almost surely, 21688969054808 is an apocalyptic number.

1688969054808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1688969054808 is an abundant number, since it is smaller than the sum of its proper divisors (3538975079592).

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

1688969054808 is a wasteful number, since it uses less digits than its factorization.

1688969054808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117181 (or 117174 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 1688969054808 in words is "one trillion, six hundred eighty-eight billion, nine hundred sixty-nine million, fifty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 49603 67559 99206 135118 148809 198412 202677 270236 297618 347221 396824 405354 446427 472913 540472 595236 608031 694442 810708 892854 945826 1041663 1190472 1216062 1388884 1418739 1621416 1785708 1891652 2083326 2432124 2777768 2837478 3124989 3571416 3783304 4166652 4256217 4864248 5674956 6249978 8333304 8512434 11349912 12499956 17024868 24999912 34049736 3351129077 6702258154 10053387231 13404516308 20106774462 23457903539 26809032616 30160161693 40213548924 46915807078 60320323386 70373710617 80427097848 93831614156 120640646772 140747421234 187663228312 211121131851 241281293544 281494842468 422242263702 562989684936 844484527404 1688969054808