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13796616681 = 343124212
BaseRepresentation
bin11001101100101011…
…11010100111101001
31022121111202202010000
430312111322213221
5211223413213211
610201005213213
7665615210151
oct146625724751
938544682100
1013796616681
11593a915351
122810561209
1313bb43b913
1494c493761
1555b35b656
hex33657a9e9

13796616681 has 45 divisors (see below), whose sum is σ = 21346742439. Its totient is φ = 8879900400.

The previous prime is 13796616601. The next prime is 13796616683. The reversal of 13796616681 is 18661669731.

The square root of 13796616681 is 117459.

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

13796616681 is a `hidden beast` number, since 13 + 7 + 9 + 6 + 616 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65464281 + 13731152400 = 8091^2 + 117180^2 .

It is not a de Polignac number, because 13796616681 - 219 = 13796092393 is a prime.

It is a super-2 number, since 2×137966166812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13796616683) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32770851 + ... + 32771271.

Almost surely, 213796616681 is an apocalyptic number.

13796616681 is the 117459-th square number.

13796616681 is the 58730-th centered octagonal number.

It is an amenable number.

13796616681 is a deficient number, since it is larger than the sum of its proper divisors (7550125758).

13796616681 is an frugal number, since it uses more digits than its factorization.

13796616681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 455 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 13796616681 in words is "thirteen billion, seven hundred ninety-six million, six hundred sixteen thousand, six hundred eighty-one".

Divisors: 1 3 9 27 31 81 93 279 421 837 961 1263 2511 2883 3789 8649 11367 13051 25947 34101 39153 77841 117459 177241 352377 404581 531723 1057131 1213743 1595169 3641229 4785507 5494471 10923687 14356521 16483413 32771061 49450239 148350717 170328601 445052151 510985803 1532957409 4598872227 13796616681