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13643512224 = 253712298741
BaseRepresentation
bin11001011010011011…
…10111100110100000
31022012211200020021120
430231031313212200
5210420214342344
610133455452240
7662045640366
oct145515674640
938184606246
1013643512224
115871452741
122789227080
1313957c3974
14935ddb636
1554cbb7219
hex32d3779a0

13643512224 has 96 divisors (see below), whose sum is σ = 36481415040. Its totient is φ = 4463692800.

The previous prime is 13643512217. The next prime is 13643512249. The reversal of 13643512224 is 42221534631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×136435122242 (a number of 21 digits) contains 22 as substring.

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, 1556494 + ... + 1565234.

It is an arithmetic number, because the mean of its divisors is an integer number (380014740).

Almost surely, 213643512224 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 13643512224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240707520).

13643512224 is an abundant number, since it is smaller than the sum of its proper divisors (22837902816).

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

13643512224 is a wasteful number, since it uses less digits than its factorization.

13643512224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9046 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The spelling of 13643512224 in words is "thirteen billion, six hundred forty-three million, five hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 229 284 426 458 568 687 852 916 1136 1374 1704 1832 2272 2748 3408 3664 5496 6816 7328 8741 10992 16259 17482 21984 26223 32518 34964 48777 52446 65036 69928 97554 104892 130072 139856 195108 209784 260144 279712 390216 419568 520288 620611 780432 839136 1241222 1560864 1861833 2001689 2482444 3723666 4003378 4964888 6005067 7447332 8006756 9929776 12010134 14894664 16013512 19859552 24020268 29789328 32027024 48040536 59578656 64054048 96081072 142119919 192162144 284239838 426359757 568479676 852719514 1136959352 1705439028 2273918704 3410878056 4547837408 6821756112 13643512224