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946723162009 = 312313872
BaseRepresentation
bin11011100011011010001…
…10010000011110011001
310100111122202122122012011
431301231012100132121
5111002342112141014
62002530230545521
7125253453046522
oct15615506203631
93314582578164
10946723162009
113355595a8a79
121335938082a1
136b377696231
1433b70849849
151995e3967c4
hexdc6d190799

946723162009 has 9 divisors (see below), whose sum is σ = 978278930901. Its totient is φ = 916154515260.

The previous prime is 946723162001. The next prime is 946723162027. The reversal of 946723162009 is 900261327649.

The square root of 946723162009 is 972997.

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

946723162009 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 946723162009 - 23 = 946723162001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (946723162001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30147214 + ... + 30178600.

It is an arithmetic number, because the mean of its divisors is an integer number (108697658989).

Almost surely, 2946723162009 is an apocalyptic number.

946723162009 is the 972997-th square number.

946723162009 is the 486499-th centered octagonal number.

It is an amenable number.

946723162009 is a deficient number, since it is larger than the sum of its proper divisors (31555768892).

946723162009 is an frugal number, since it uses more digits than its factorization.

946723162009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62836 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 946723162009 by its sum of digits (49), we get a square (46389434938441 = 68109792).

The spelling of 946723162009 in words is "nine hundred forty-six billion, seven hundred twenty-three million, one hundred sixty-two thousand, nine".

Divisors: 1 31 961 31387 972997 30162907 985143769 30539456839 946723162009