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13834855072 = 2529157269353
BaseRepresentation
bin11001110001001111…
…10010001010100000
31022201011201110022201
430320213302022200
5211313210330242
610204452542544
7666561220303
oct147047621240
938634643281
1013834855072
11595a462425
122821321a54
1313c633969c
149535a8b3a
1555e8b14b7
hex3389f22a0

13834855072 has 96 divisors (see below), whose sum is σ = 28542099600. Its totient is φ = 6592954368.

The previous prime is 13834855061. The next prime is 13834855103. The reversal of 13834855072 is 27055843831.

It can be written as a sum of positive squares in 8 ways, for example, as 1911088656 + 11923766416 = 43716^2 + 109196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39192048 + ... + 39192400.

Almost surely, 213834855072 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 13834855072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271049800).

13834855072 is an abundant number, since it is smaller than the sum of its proper divisors (14707244528).

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

13834855072 is a wasteful number, since it uses less digits than its factorization.

13834855072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 13834855072 in words is "thirteen billion, eight hundred thirty-four million, eight hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 116 157 232 269 314 353 464 538 628 706 928 1076 1256 1412 2152 2512 2824 4304 4553 5024 5648 7801 8608 9106 10237 11296 15602 18212 20474 31204 36424 40948 42233 55421 62408 72848 81896 84466 94957 110842 124816 145696 163792 168932 189914 221684 249632 327584 337864 379828 443368 675728 759656 886736 1224757 1351456 1519312 1607209 1773472 2449514 2753753 3038624 3214418 4899028 5507506 6428836 9798056 11015012 12857672 14908249 19596112 22030024 25715344 29816498 39192224 44060048 51430688 59632996 88120096 119265992 238531984 432339221 477063968 864678442 1729356884 3458713768 6917427536 13834855072