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13687439719716 = 22327259214932
BaseRepresentation
bin1100011100101101101011…
…1110110111110100100100
31210110111200012121120121100
43013023122332313310210
53243223334032012331
645035531211320100
72611612341662100
oct307133276676444
953414605546540
1013687439719716
1143a78a0988964
121650873a50030
13783948b91039
14354693144900
1518b095be9ae6
hexc72dafb7d24

13687439719716 has 243 divisors, whose sum is σ = 40968755781681. Its totient is φ = 3841839102528.

The previous prime is 13687439719711. The next prime is 13687439719727. The reversal of 13687439719716 is 61791793478631.

The square root of 13687439719716 is 3699654.

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

13687439719716 is a `hidden beast` number, since 1 + 36 + 8 + 7 + 4 + 397 + 197 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11949535376100 + 1737904343616 = 3456810^2 + 1318296^2 .

It is not an unprimeable number, because it can be changed into a prime (13687439719711) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9167741866 + ... + 9167743358.

Almost surely, 213687439719716 is an apocalyptic number.

13687439719716 is the 3699654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13687439719716

13687439719716 is an abundant number, since it is smaller than the sum of its proper divisors (27281316061965).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13687439719716 is an equidigital number, since it uses as much as digits as its factorization.

13687439719716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 1564 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 72.

The spelling of 13687439719716 in words is "thirteen trillion, six hundred eighty-seven billion, four hundred thirty-nine million, seven hundred nineteen thousand, seven hundred sixteen".