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13894560512 = 28713275843
BaseRepresentation
bin11001111000010111…
…00010101100000000
31022212100001210210022
430330023202230000
5211424001414022
610214424353012
71001214546530
oct147413425400
938770053708
1013894560512
115990131a68
122839315768
131405812551
1495b4ab4c0
15564c56c42
hex33c2e2b00

13894560512 has 72 divisors (see below), whose sum is σ = 31726281216. Its totient is φ = 5949305856.

The previous prime is 13894560391. The next prime is 13894560523. The reversal of 13894560512 is 21506549831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2375063 + ... + 2380905.

Almost surely, 213894560512 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 13894560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863140608).

13894560512 is an abundant number, since it is smaller than the sum of its proper divisors (17831720704).

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

13894560512 is an equidigital number, since it uses as much as digits as its factorization.

13894560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 13894560512 in words is "thirteen billion, eight hundred ninety-four million, five hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1327 1792 2654 5308 5843 9289 10616 11686 18578 21232 23372 37156 40901 42464 46744 74312 81802 84928 93488 148624 163604 169856 186976 297248 327208 339712 373952 594496 654416 747904 1188992 1308832 1495808 2377984 2617664 5235328 7753661 10470656 15507322 31014644 54275627 62029288 108551254 124058576 217102508 248117152 434205016 496234304 868410032 992468608 1736820064 1984937216 3473640128 6947280256 13894560512