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13324045464 = 23328914331451
BaseRepresentation
bin11000110100010110…
…01100110010011000
31021101120112122021100
430122023030302120
5204241423423324
610042044311400
7651116342412
oct143213146230
937346478240
1013324045464
115718092624
1226ba242560
13134456b392
149057db9b2
1552eb104c9
hex31a2ccc98

13324045464 has 96 divisors (see below), whose sum is σ = 36542048400. Its totient is φ = 4385356800.

The previous prime is 13324045457. The next prime is 13324045481. The reversal of 13324045464 is 46454042331.

13324045464 is a `hidden beast` number, since 133 + 24 + 0 + 45 + 464 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9181939 + ... + 9183389.

Almost surely, 213324045464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13324045464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271024200).

13324045464 is an abundant number, since it is smaller than the sum of its proper divisors (23218002936).

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

13324045464 is a wasteful number, since it uses less digits than its factorization.

13324045464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13324045464 its reverse (46454042331), we get a palindrome (59778087795).

The spelling of 13324045464 in words is "thirteen billion, three hundred twenty-four million, forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1433 1451 1602 2136 2866 2902 3204 4299 4353 5732 5804 6408 8598 8706 11464 11608 12897 13059 17196 17412 25794 26118 34392 34824 51588 52236 103176 104472 127537 129139 255074 258278 382611 387417 510148 516556 765222 774834 1020296 1033112 1147833 1162251 1530444 1549668 2079283 2295666 2324502 3060888 3099336 4158566 4591332 4649004 6237849 8317132 9182664 9298008 12475698 16634264 18713547 24951396 37427094 49902792 74854188 149708376 185056187 370112374 555168561 740224748 1110337122 1480449496 1665505683 2220674244 3331011366 4441348488 6662022732 13324045464