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683610816 = 26373759233
BaseRepresentation
bin101000101111110…
…001001011000000
31202122100000202010
4220233301023000
52400001021231
6151500052520
722640411310
oct5057611300
91678300663
10683610816
11320975a19
12170b34140
13ab821655
1466b0d440
1540036546
hex28bf12c0

683610816 has 224 divisors, whose sum is σ = 2168225280. Its totient is φ = 186015744.

The previous prime is 683610797. The next prime is 683610821. The reversal of 683610816 is 618016386.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 2933836 + ... + 2934068.

Almost surely, 2683610816 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 683610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084112640).

683610816 is an abundant number, since it is smaller than the sum of its proper divisors (1484614464).

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

683610816 is a wasteful number, since it uses less digits than its factorization.

683610816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 683610816 is about 26145.9521914961. The cubic root of 683610816 is about 880.9196721412.

The spelling of 683610816 in words is "six hundred eighty-three million, six hundred ten thousand, eight hundred sixteen".