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1681136912 = 247133073761
BaseRepresentation
bin110010000110100…
…0001110100010000
311100011100121022002
41210031001310100
511420332340122
6434452333132
756442266540
oct14415016420
94304317262
101681136912
11792a5a054
123ab0141a8
1320a3a3790
1411d3b5320
159c8c9992
hex64341d10

1681136912 has 80 divisors (see below), whose sum is σ = 4022992512. Its totient is φ = 662722560.

The previous prime is 1681136903. The next prime is 1681136917. The reversal of 1681136912 is 2196311861.

It is not an unprimeable number, because it can be changed into a prime (1681136917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445112 + ... + 448872.

Almost surely, 21681136912 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 1681136912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011496256).

1681136912 is an abundant number, since it is smaller than the sum of its proper divisors (2341855600).

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

1681136912 is a wasteful number, since it uses less digits than its factorization.

1681136912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4090 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 1681136912 is about 41001.6696245409. The cubic root of 1681136912 is about 1189.0524934247.

The spelling of 1681136912 in words is "one billion, six hundred eighty-one million, one hundred thirty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 307 364 614 728 1228 1456 2149 2456 3761 3991 4298 4912 7522 7982 8596 15044 15964 17192 26327 27937 30088 31928 34384 48893 52654 55874 60176 63856 97786 105308 111748 195572 210616 223496 342251 391144 421232 446992 684502 782288 1154627 1369004 2309254 2738008 4618508 5476016 8082389 9237016 15010151 16164778 18474032 30020302 32329556 60040604 64659112 105071057 120081208 129318224 210142114 240162416 420284228 840568456 1681136912