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13080780468 = 2232751907859
BaseRepresentation
bin11000010111010110…
…01101111010110100
31020202121210111102200
430023223031322310
5203242134433333
610001554304500
7642103541130
oct141353157264
936677714380
1013080780468
115602839a78
122650888130
1313060463b2
148c13963c0
155185abc13
hex30bacdeb4

13080780468 has 36 divisors (see below), whose sum is σ = 37788922080. Its totient is φ = 3737365776.

The previous prime is 13080780467. The next prime is 13080780473. The reversal of 13080780468 is 86408708031.

13080780468 is a `hidden beast` number, since 1 + 30 + 80 + 7 + 80 + 468 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130807804682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13080780463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25953678 + ... + 25954181.

It is an arithmetic number, because the mean of its divisors is an integer number (1049692280).

Almost surely, 213080780468 is an apocalyptic number.

13080780468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13080780468 is an abundant number, since it is smaller than the sum of its proper divisors (24708141612).

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

13080780468 is a wasteful number, since it uses less digits than its factorization.

13080780468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51907876 (or 51907871 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13080780468 in words is "thirteen billion, eighty million, seven hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 51907859 103815718 155723577 207631436 311447154 363355013 467170731 622894308 726710026 934341462 1090065039 1453420052 1868682924 2180130078 3270195117 4360260156 6540390234 13080780468