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13069213344 = 2532114125383
BaseRepresentation
bin11000010101111110…
…00101111010100000
31020201211000211022200
430022333011322200
5203231204311334
610000502333200
7641603323545
oct141277057240
936654024280
1013069213344
1155a7259470
122648a2a200
131303826445
148bda24bcc
15517574799
hex30afc5ea0

13069213344 has 72 divisors (see below), whose sum is σ = 40544273952. Its totient is φ = 3960366720.

The previous prime is 13069213321. The next prime is 13069213351. The reversal of 13069213344 is 44331296031.

13069213344 is a `hidden beast` number, since 1 + 306 + 9 + 2 + 1 + 3 + 344 = 666.

13069213344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13069213299 and 13069213308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2059524 + ... + 2065859.

It is an arithmetic number, because the mean of its divisors is an integer number (563114916).

Almost surely, 213069213344 is an apocalyptic number.

It is an amenable number.

13069213344 is an abundant number, since it is smaller than the sum of its proper divisors (27475060608).

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

13069213344 is a wasteful number, since it uses less digits than its factorization.

13069213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125410 (or 4125399 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13069213344 in words is "thirteen billion, sixty-nine million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 4125383 8250766 12376149 16501532 24752298 33003064 37128447 45379213 49504596 66006128 74256894 90758426 99009192 132012256 136137639 148513788 181516852 198018384 272275278 297027576 363033704 396036768 408412917 544550556 594055152 726067408 816825834 1089101112 1188110304 1452134816 1633651668 2178202224 3267303336 4356404448 6534606672 13069213344