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1682119712 = 257132919919
BaseRepresentation
bin110010001000011…
…0001110000100000
311100020012112110002
41210100301300200
511421110312322
6434525355132
756453532050
oct14420616040
94306175402
101682119712
11793570489
123ab408aa8
1320a658c10
1411d58d560
159ca20c92
hex64431c20

1682119712 has 96 divisors (see below), whose sum is σ = 4216665600. Its totient is φ = 642475008.

The previous prime is 1682119711. The next prime is 1682119721. The reversal of 1682119712 is 2179112861.

It is not an unprimeable number, because it can be changed into a prime (1682119711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74489 + ... + 94407.

It is an arithmetic number, because the mean of its divisors is an integer number (43923600).

Almost surely, 21682119712 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 1682119712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108332800).

1682119712 is an abundant number, since it is smaller than the sum of its proper divisors (2534545888).

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

1682119712 is a wasteful number, since it uses less digits than its factorization.

1682119712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19978 (or 19970 counting only the distinct ones).

The product of its digits is 12096, while the sum is 38.

The square root of 1682119712 is about 41013.6527512486. The cubic root of 1682119712 is about 1189.2841567182.

The spelling of 1682119712 in words is "one billion, six hundred eighty-two million, one hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 91 104 112 116 182 203 208 224 232 364 377 406 416 464 728 754 812 928 1456 1508 1624 2639 2912 3016 3248 5278 6032 6496 10556 12064 19919 21112 39838 42224 79676 84448 139433 159352 258947 278866 318704 517894 557732 577651 637408 1035788 1115464 1155302 1812629 2071576 2230928 2310604 3625258 4043557 4143152 4461856 4621208 7250516 7509463 8087114 8286304 9242416 14501032 15018926 16174228 18484832 29002064 30037852 32348456 52566241 58004128 60075704 64696912 105132482 120151408 129393824 210264964 240302816 420529928 841059856 1682119712