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13505605641 = 3211136420259
BaseRepresentation
bin11001001001111111…
…10011000000001001
31021212020011212000100
430210333303000021
5210124413340031
610112052000013
7655452516363
oct144477630011
937766155010
1013505605641
115800620460
12274b000009
13137306a438
1492197dd33
15540a25de6
hex324ff3009

13505605641 has 12 divisors (see below), whose sum is σ = 21281560560. Its totient is φ = 8185215480.

The previous prime is 13505605621. The next prime is 13505605657. The reversal of 13505605641 is 14650650531.

13505605641 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 5 + 6 + 0 + 5 + 641 = 666.

It is not a de Polignac number, because 13505605641 - 211 = 13505603593 is a prime.

It is a super-2 number, since 2×135056056412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13505605596 and 13505605605.

It is not an unprimeable number, because it can be changed into a prime (13505605621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68210031 + ... + 68210228.

It is an arithmetic number, because the mean of its divisors is an integer number (1773463380).

Almost surely, 213505605641 is an apocalyptic number.

13505605641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13505605641 is a deficient number, since it is larger than the sum of its proper divisors (7775954919).

13505605641 is a wasteful number, since it uses less digits than its factorization.

13505605641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136420276 (or 136420273 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13505605641 in words is "thirteen billion, five hundred five million, six hundred five thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 99 136420259 409260777 1227782331 1500622849 4501868547 13505605641