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1688969054799 = 331389269200989
BaseRepresentation
bin11000100100111110011…
…001101000101001001111
312222110112011020202011000
4120210332121220221033
5210133002034223144
63331522432231343
7233011141043325
oct30447631505117
95873464222130
101688969054799
115a1319000154
1223340039b553
13c3366294b70
145ba64703d15
152de021ba769
hex1893e668a4f

1688969054799 has 64 divisors (see below), whose sum is σ = 2735071920000. Its totient is φ = 1023861814272.

The previous prime is 1688969054777. The next prime is 1688969054803. The reversal of 1688969054799 is 9974509698861.

1688969054799 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 9 + 69 + 0 + 547 + 9 + 9 = 666.

It is not a de Polignac number, because 1688969054799 - 219 = 1688968530511 is a prime.

It is a super-3 number, since 3×16889690547993 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688969054719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8302797 + ... + 8503785.

It is an arithmetic number, because the mean of its divisors is an integer number (42735498750).

Almost surely, 21688969054799 is an apocalyptic number.

1688969054799 is a deficient number, since it is larger than the sum of its proper divisors (1046102865201).

1688969054799 is a wasteful number, since it uses less digits than its factorization.

1688969054799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201369 (or 201363 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 1688969054799 in words is "one trillion, six hundred eighty-eight billion, nine hundred sixty-nine million, fifty-four thousand, seven hundred ninety-nine".

Divisors: 1 3 9 13 27 39 89 117 267 269 351 801 807 1157 2403 2421 3471 3497 7263 10413 10491 23941 31239 31473 71823 94419 200989 215469 311233 602967 646407 933699 1808901 2612857 2801097 5426703 7838571 8403291 17888021 23515713 53664063 54066041 70547139 160992189 162198123 232544273 482976567 486594369 697632819 702858533 1459783107 2092898457 2108575599 4811877649 6278695371 6325726797 14435632947 18977180391 43306898841 62554409437 129920696523 187663228311 562989684933 1688969054799