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945917691889 = 139269972
BaseRepresentation
bin11011100001111010001…
…01101000011111110001
310100102120122000111220111
431300331011220133301
5110444214412120024
62002314254541321
7125224502501242
oct15607505503761
93312518014814
10945917691889
11335185971395
121333a9b07841
136b2798495b1
1433ad5898cc9
15199137dda94
hexdc3d1687f1

945917691889 has 9 divisors (see below), whose sum is σ = 952908001227. Its totient is φ = 938978312184.

The previous prime is 945917691883. The next prime is 945917691893. The reversal of 945917691889 is 988196719549.

The square root of 945917691889 is 972583.

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

It can be written as a sum of positive squares in only one way, i.e., 302219565025 + 643698126864 = 549745^2 + 802308^2 .

It is not a de Polignac number, because 945917691889 - 23 = 945917691881 is a prime.

It is a super-2 number, since 2×9459176918892 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (945917691881) 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, 135185539 + ... + 135192535.

It is an arithmetic number, because the mean of its divisors is an integer number (105878666803).

Almost surely, 2945917691889 is an apocalyptic number.

945917691889 is the 972583-rd square number.

945917691889 is the 486292-nd centered octagonal number.

It is an amenable number.

945917691889 is a deficient number, since it is larger than the sum of its proper divisors (6990309338).

945917691889 is an frugal number, since it uses more digits than its factorization.

945917691889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14272 (or 7136 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 76.

The spelling of 945917691889 in words is "nine hundred forty-five billion, nine hundred seventeen million, six hundred ninety-one thousand, eight hundred eighty-nine".

Divisors: 1 139 6997 19321 972583 48958009 135189037 6805163251 945917691889