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10947646161 = 32348772
BaseRepresentation
bin10100011001000011…
…11101001011010001
31001020221221001021100
422030201331023101
5134410044134121
65010154015013
7535202312514
oct121441751321
931227831240
1010947646161
11470872a661
122156417469
131056126a4a
1475bd62d7b
1544119c026
hex28c87d2d1

10947646161 has 9 divisors (see below), whose sum is σ = 15813720091. Its totient is φ = 7298221512.

The previous prime is 10947646159. The next prime is 10947646183. The reversal of 10947646161 is 16164674901.

The square root of 10947646161 is 104631.

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

10947646161 is a `hidden beast` number, since 10 + 9 + 476 + 4 + 6 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8452044225 + 2495601936 = 91935^2 + 49956^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10947646161 - 21 = 10947646159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10947646561) 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, 296455 + ... + 331331.

Almost surely, 210947646161 is an apocalyptic number.

10947646161 is the 104631-st square number.

10947646161 is the 52316-th centered octagonal number.

It is an amenable number.

10947646161 is a deficient number, since it is larger than the sum of its proper divisors (4866073930).

10947646161 is an frugal number, since it uses more digits than its factorization.

10947646161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69760 (or 34880 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10947646161 in words is "ten billion, nine hundred forty-seven million, six hundred forty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 34877 104631 313893 1216405129 3649215387 10947646161