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11790427905 = 3351071276427
BaseRepresentation
bin10101111101100001…
…11010011100000001
31010102200202210111000
422332300322130001
5143121322143110
65225541442213
7565114661244
oct127660723401
933380683430
1011790427905
115000430aa3
122350710369
13115b908679
147dbc6725b
154901751c0
hex2bec3a701

11790427905 has 64 divisors (see below), whose sum is σ = 21326561280. Its totient is φ = 6179447232.

The previous prime is 11790427853. The next prime is 11790427937. The reversal of 11790427905 is 50972409711.

11790427905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11790427905 - 26 = 11790427841 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1831302 + ... + 1837728.

It is an arithmetic number, because the mean of its divisors is an integer number (333227520).

Almost surely, 211790427905 is an apocalyptic number.

11790427905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11790427905 is a deficient number, since it is larger than the sum of its proper divisors (9536133375).

11790427905 is a wasteful number, since it uses less digits than its factorization.

11790427905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 11790427905 in words is "eleven billion, seven hundred ninety million, four hundred twenty-seven thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 107 127 135 321 381 535 635 963 1143 1605 1905 2889 3429 4815 5715 6427 13589 14445 17145 19281 32135 40767 57843 67945 96405 122301 173529 203835 289215 366903 611505 687689 816229 867645 1834515 2063067 2448687 3438445 4081145 6189201 7346061 10315335 12243435 18567603 22038183 30946005 36730305 87336503 92838015 110190915 262009509 436682515 786028527 1310047545 2358085581 3930142635 11790427905