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16383680512 = 21337191283
BaseRepresentation
bin11110100001000101…
…10010000000000000
31120021210210012111221
433100202302000000
5232023210234022
611305423044424
71120000662253
oct172042620000
946253705457
1016383680512
116a48184731
123212a40714
131711402714
14b15cc909a
1565d533cc7
hex3d08b2000

16383680512 has 112 divisors (see below), whose sum is σ = 33946624512. Its totient is φ = 7900692480.

The previous prime is 16383680507. The next prime is 16383680543. The reversal of 16383680512 is 21508638361.

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, 57892723 + ... + 57893005.

Almost surely, 216383680512 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 16383680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973312256).

16383680512 is an abundant number, since it is smaller than the sum of its proper divisors (17562944000).

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

16383680512 is an equidigital number, since it uses as much as digits as its factorization.

16383680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 16383680512 in words is "sixteen billion, three hundred eighty-three million, six hundred eighty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 191 256 283 296 382 512 566 592 764 1024 1132 1184 1528 2048 2264 2368 3056 4096 4528 4736 6112 7067 8192 9056 9472 10471 12224 14134 18112 18944 20942 24448 28268 36224 37888 41884 48896 54053 56536 72448 75776 83768 97792 108106 113072 144896 151552 167536 195584 216212 226144 289792 303104 335072 391168 432424 452288 579584 670144 782336 864848 904576 1159168 1340288 1564672 1729696 1809152 1999961 2318336 2680576 3459392 3618304 3999922 5361152 6918784 7236608 7999844 10722304 13837568 14473216 15999688 21444608 27675136 28946432 31999376 42889216 55350272 57892864 63998752 85778432 110700544 127997504 221401088 255995008 442802176 511990016 1023980032 2047960064 4095920128 8191840256 16383680512