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11680490493 = 337267313421
BaseRepresentation
bin10101110000011011…
…00010001111111101
31010011000220101201000
422320031202033331
5142410201143433
65211013240513
7562311350100
oct127015421775
933130811630
1011680490493
114a54372431
12231b933139
131141bc5949
147cb40a737
154856ab113
hex2b83623fd

11680490493 has 96 divisors (see below), whose sum is σ = 20544040320. Its totient is φ = 6538371840.

The previous prime is 11680490491. The next prime is 11680490501. The reversal of 11680490493 is 39409408611.

11680490493 is a `hidden beast` number, since 11 + 68 + 0 + 4 + 90 + 493 = 666.

It is not a de Polignac number, because 11680490493 - 21 = 11680490491 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680490491) 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 95 ways as a sum of consecutive naturals, for example, 27744423 + ... + 27744843.

It is an arithmetic number, because the mean of its divisors is an integer number (214000420).

Almost surely, 211680490493 is an apocalyptic number.

It is an amenable number.

11680490493 is a deficient number, since it is larger than the sum of its proper divisors (8863549827).

11680490493 is a wasteful number, since it uses less digits than its factorization.

11680490493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11680490493 in words is "eleven billion, six hundred eighty million, four hundred ninety thousand, four hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 67 147 189 201 313 421 441 469 603 939 1263 1323 1407 1809 2191 2817 2947 3283 3789 4221 6573 8451 8841 9849 11367 12663 15337 19719 20629 20971 26523 28207 29547 46011 59157 61887 62913 79569 84621 88641 131773 138033 146797 185661 188739 197449 253863 395319 414099 440391 556983 566217 592347 761589 922411 1027579 1185957 1321173 1382143 1777041 2767233 3082737 3557871 3963519 4146429 5331123 6456877 8301699 8828791 9248211 12439287 19370631 24905097 26486373 27744633 37317861 58111893 61801537 79459119 174335679 185404611 238377357 432610759 556213833 1297832277 1668641499 3893496831 11680490493