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1662915990681 = 3211223216992
BaseRepresentation
bin11000001100101101100…
…001000101010010011001
312212222021110210221221100
4120030231201011102121
5204221122443200211
63311533312502013
7231066415462221
oct30145541052231
95788243727840
101662915990681
115912697a7500
1222a34b24a909
13c0a738324aa
145a6b2559081
152d3c9d34156
hex1832d845499

1662915990681 has 81 divisors (see below), whose sum is σ = 2761611453237. Its totient is φ = 963441871920.

The previous prime is 1662915990667. The next prime is 1662915990683. The reversal of 1662915990681 is 1860995192661.

The square root of 1662915990681 is 1289541.

It is a perfect power (a square), and thus also a powerful number.

1662915990681 is a `hidden beast` number, since 16 + 6 + 29 + 1 + 599 + 0 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 1662915990681 - 219 = 1662915466393 is a prime.

It is a super-2 number, since 2×16629159906812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1662915990683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 978760770 + ... + 978762468.

Almost surely, 21662915990681 is an apocalyptic number.

1662915990681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1662915990681 is the 1289541-st square number.

1662915990681 is the 644771-st centered octagonal number.

It is an amenable number.

1662915990681 is a deficient number, since it is larger than the sum of its proper divisors (1098695462556).

1662915990681 is an equidigital number, since it uses as much as digits as its factorization.

1662915990681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 1662915990681 in words is "one trillion, six hundred sixty-two billion, nine hundred fifteen million, nine hundred ninety thousand, six hundred eighty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 529 759 1089 1587 1699 2277 2783 4761 5097 5819 8349 15291 17457 18689 25047 39077 52371 56067 64009 117231 168201 192027 205579 351693 429847 576081 616737 898771 1289541 1850211 2696313 2886601 3868623 4728317 8088939 8659803 9886481 14184951 25979409 29659443 31752611 42554853 66391823 88978329 95257833 108751291 199175469 285773499 326253873 349278721 597526407 730310053 978761619 1047836163 1527011929 2190930159 3143508489 4581035787 6572790477 8033410583 13743107361 16797131219 24100231749 50391393657 72300695247 151174180971 184768443409 554305330227 1662915990681