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16684693760 = 28576727793
BaseRepresentation
bin11111000100111110…
…00011100100000000
31121001210012021001202
433202133003210000
5233132240200020
611355334520332
71130314362020
oct174237034400
947053167052
1016684693760
117092090409
1232978060a8
13175b896777
14b43c83a80
15679b92e75
hex3e27c3900

16684693760 has 144 divisors (see below), whose sum is σ = 46357723776. Its totient is φ = 5634883584.

The previous prime is 16684693757. The next prime is 16684693771. The reversal of 16684693760 is 6739648661.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 16684693696 and 16684693705.

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, 586424 + ... + 614216.

Almost surely, 216684693760 is an apocalyptic number.

16684693760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16684693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23178861888).

16684693760 is an abundant number, since it is smaller than the sum of its proper divisors (29673030016).

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

16684693760 is an equidigital number, since it uses as much as digits as its factorization.

16684693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27888 (or 27874 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 16684693760 in words is "sixteen billion, six hundred eighty-four million, six hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 128 134 140 160 224 256 268 280 320 335 448 469 536 560 640 670 896 938 1072 1120 1280 1340 1792 1876 2144 2240 2345 2680 3752 4288 4480 4690 5360 7504 8576 8960 9380 10720 15008 17152 18760 21440 27793 30016 37520 42880 55586 60032 75040 85760 111172 120064 138965 150080 194551 222344 277930 300160 389102 444688 555860 600320 778204 889376 972755 1111720 1556408 1778752 1862131 1945510 2223440 3112816 3557504 3724262 3891020 4446880 6225632 7115008 7448524 7782040 8893760 9310655 12451264 13034917 14897048 15564080 17787520 18621310 24902528 26069834 29794096 31128160 35575040 37242620 49805056 52139668 59588192 62256320 65174585 74485240 104279336 119176384 124512640 130349170 148970480 208558672 238352768 249025280 260698340 297940960 417117344 476705536 521396680 595881920 834234688 1042793360 1191763840 1668469376 2085586720 2383527680 3336938752 4171173440 8342346880 16684693760