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940000161617 = 11279106192683
BaseRepresentation
bin11011010110111000110…
…00000010111101010001
310022212022020010211102122
431223130120002331101
5110400110020132432
61555455145424025
7124625036353346
oct15533430027521
93285266124378
10940000161617
11332719649300
1213221819b015
136a8458970aa
14336d39d67cd
15196b9046612
hexdadc602f51

940000161617 has 24 divisors (see below), whose sum is σ = 1047299541120. Its totient is φ = 842924253600.

The previous prime is 940000161599. The next prime is 940000161631. The reversal of 940000161617 is 716161000049.

940000161617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-940000161617 is a prime.

It is a super-3 number, since 3×9400001616173 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (940000161647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10095758 + ... + 10188440.

It is an arithmetic number, because the mean of its divisors is an integer number (43637480880).

Almost surely, 2940000161617 is an apocalyptic number.

It is an amenable number.

940000161617 is a deficient number, since it is larger than the sum of its proper divisors (107299379503).

940000161617 is a wasteful number, since it uses less digits than its factorization.

940000161617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93845 (or 93834 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 940000161617 in words is "nine hundred forty billion, one hundred sixty-one thousand, six hundred seventeen".

Divisors: 1 11 79 121 869 1061 9559 11671 83819 92683 128381 922009 1019513 7321957 10142099 11214643 80541527 98336663 885956797 1081703293 7768596377 11898736223 85454560147 940000161617