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11745500617 = 171979460301
BaseRepresentation
bin10101111000001011…
…00001110111001001
31010022120020020211101
422330011201313021
5143023322004432
65221254501401
7564031052014
oct127405416711
933276206741
1011745500617
114a88035504
122339664861
131152508186
147d5cd037b
1548b24d4e7
hex2bc161dc9

11745500617 has 16 divisors (see below), whose sum is σ = 13256697600. Its totient is φ = 10340179200.

The previous prime is 11745500563. The next prime is 11745500623. The reversal of 11745500617 is 71600554711.

It is a happy number.

11745500617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11745500617 - 27 = 11745500489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11745500647) 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 15 ways as a sum of consecutive naturals, for example, 204634 + ... + 255667.

It is an arithmetic number, because the mean of its divisors is an integer number (828543600).

Almost surely, 211745500617 is an apocalyptic number.

11745500617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11745500617 is a deficient number, since it is larger than the sum of its proper divisors (1511196983).

11745500617 is a wasteful number, since it uses less digits than its factorization.

11745500617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460416.

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 11745500617 in words is "eleven billion, seven hundred forty-five million, five hundred thousand, six hundred seventeen".

Divisors: 1 17 19 79 323 1343 1501 25517 460301 7825117 8745719 36363779 148677223 618184243 690911801 11745500617