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5680683824 = 241741593859
BaseRepresentation
bin1010100101001100…
…00101101100110000
3112122220012122020012
411102212011230300
543113223340244
62335404434052
7260526005264
oct52246055460
915586178205
105680683824
112455663922
121126548928
136c6b96b9a
143bc64c0a4
15233ab089e
hex152985b30

5680683824 has 80 divisors (see below), whose sum is σ = 11972046240. Its totient is φ = 2600632320.

The previous prime is 5680683817. The next prime is 5680683881. The reversal of 5680683824 is 4283860865.

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, 6612707 + ... + 6613565.

It is an arithmetic number, because the mean of its divisors is an integer number (149650578).

Almost surely, 25680683824 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 5680683824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986023120).

5680683824 is an abundant number, since it is smaller than the sum of its proper divisors (6291362416).

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

5680683824 is a wasteful number, since it uses less digits than its factorization.

5680683824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The square root of 5680683824 is about 75370.3112903217. The cubic root of 5680683824 is about 1784.2958798599.

The spelling of 5680683824 in words is "five billion, six hundred eighty million, six hundred eighty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 593 656 697 859 1186 1394 1718 2372 2788 3436 4744 5576 6872 9488 10081 11152 13744 14603 20162 24313 29206 35219 40324 48626 58412 70438 80648 97252 116824 140876 161296 194504 233648 281752 389008 413321 509387 563504 598723 826642 1018774 1197446 1653284 2037548 2394892 3306568 4075096 4789784 6613136 8150192 8659579 9579568 17319158 20884867 34638316 41769734 69276632 83539468 138553264 167078936 334157872 355042739 710085478 1420170956 2840341912 5680683824