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13883360512 = 28726716519
BaseRepresentation
bin11001110111000001…
…10100010100000000
31022211112222210021111
430323200310110000
5211413120014022
610213344333104
71001020421500
oct147340642400
938745883244
1013883360512
11598488226a
122835614194
1314033c0728
14959bd3a00
15563c93477
hex33b834500

13883360512 has 108 divisors (see below), whose sum is σ = 32720106720. Its totient is φ = 5860850688.

The previous prime is 13883360497. The next prime is 13883360521. The reversal of 13883360512 is 21506338831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 832189 + ... + 848707.

Almost surely, 213883360512 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 13883360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360053360).

13883360512 is an abundant number, since it is smaller than the sum of its proper divisors (18836746208).

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

13883360512 is an equidigital number, since it uses as much as digits as its factorization.

13883360512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16616 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 13883360512 in words is "thirteen billion, eight hundred eighty-three million, three hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 128 134 196 224 256 268 392 448 469 536 784 896 938 1072 1568 1792 1876 2144 3136 3283 3752 4288 6272 6566 7504 8576 12544 13132 15008 16519 17152 26264 30016 33038 52528 60032 66076 105056 115633 120064 132152 210112 231266 264304 420224 462532 528608 809431 840448 925064 1057216 1106773 1618862 1850128 2114432 2213546 3237724 3700256 4228864 4427092 6475448 7400512 7747411 8854184 12950896 14801024 15494822 17708368 25901792 29602048 30989644 35416736 51803584 54231877 61979288 70833472 103607168 108463754 123958576 141666944 207214336 216927508 247917152 283333888 433855016 495834304 867710032 991668608 1735420064 1983337216 3470840128 6941680256 13883360512