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13680908593969 = 1710195009157667
BaseRepresentation
bin1100011100010101010110…
…1100100110101100110001
31210102212211001011000101011
43013011111230212230301
53243122000100001334
645032531142510521
72611261445222131
oct307052554465461
953385731130334
1013680908593969
1143a504a271481
12164b550735441
13783147a629a6
1435423399aac1
1518ad1264b564
hexc7155b26b31

13680908593969 has 16 divisors (see below), whose sum is σ = 14502870244800. Its totient is φ = 12860863550464.

The previous prime is 13680908593939. The next prime is 13680908593993. The reversal of 13680908593969 is 96939580908631.

13680908593969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13680908593969 - 213 = 13680908585777 is a prime.

It is a super-2 number, since 2×136809085939692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13680908593895 and 13680908593904.

It is not an unprimeable number, because it can be changed into a prime (13680908593939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86692074 + ... + 86849740.

It is an arithmetic number, because the mean of its divisors is an integer number (906429390300).

Almost surely, 213680908593969 is an apocalyptic number.

It is an amenable number.

13680908593969 is a deficient number, since it is larger than the sum of its proper divisors (821961650831).

13680908593969 is a wasteful number, since it uses less digits than its factorization.

13680908593969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163712.

The product of its (nonzero) digits is 680244480, while the sum is 76.

The spelling of 13680908593969 in words is "thirteen trillion, six hundred eighty billion, nine hundred eight million, five hundred ninety-three thousand, nine hundred sixty-nine".

Divisors: 1 17 1019 5009 17323 85153 157667 2680339 5104171 86770907 160662673 789754003 2731265441 13425818051 804759329057 13680908593969