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13342467096 = 23377108943
BaseRepresentation
bin11000110110100010…
…11110010000011000
31021102212012120000000
430123101132100120
5204311132421341
610043543213000
7651432045660
oct143321362030
937385176000
1013342467096
115727525012
122704447160
13134831b25a
149080351a0
1553154d8b6
hex31b45e418

13342467096 has 128 divisors (see below), whose sum is σ = 42880358400. Its totient is φ = 3812098464.

The previous prime is 13342467067. The next prime is 13342467097. The reversal of 13342467096 is 69076424331.

13342467096 is a `hidden beast` number, since 1 + 334 + 246 + 70 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342467097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68001 + ... + 176943.

It is an arithmetic number, because the mean of its divisors is an integer number (335002800).

Almost surely, 213342467096 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 13342467096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440179200).

13342467096 is an abundant number, since it is smaller than the sum of its proper divisors (29537891304).

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

13342467096 is an equidigital number, since it uses as much as digits as its factorization.

13342467096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108977 (or 108955 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13342467096 in words is "thirteen billion, three hundred forty-two million, four hundred sixty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 4374 4536 5103 5832 6804 8748 10206 13608 15309 17496 20412 30618 40824 61236 108943 122472 217886 326829 435772 653658 762601 871544 980487 1307316 1525202 1960974 2287803 2614632 2941461 3050404 3921948 4575606 5882922 6100808 6863409 7843896 8824383 9151212 11765844 13726818 17648766 18302424 20590227 23531688 26473149 27453636 35297532 41180454 52946298 54907272 61770681 70595064 79419447 82360908 105892596 123541362 158838894 164721816 185312043 211785192 238258341 247082724 317677788 370624086 476516682 494165448 555936129 635355576 741248172 953033364 1111872258 1482496344 1667808387 1906066728 2223744516 3335616774 4447489032 6671233548 13342467096