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43481683023016 = 23722914532632429
BaseRepresentation
bin10011110001011110111100…
…10001010101010010101000
312200221210211020210011022011
421320233132101111102220
521144400441323214031
6232251113122405304
712105306432330100
oct1170573621252250
9180853736704264
1043481683023016
1112944529557337
124a6305b800834
131b353c74518c4
14aa474ba56200
155060d1e766b1
hex278bde4554a8

43481683023016 has 96 divisors (see below), whose sum is σ = 98176740093000. Its totient is φ = 17980030785024.

The previous prime is 43481683023011. The next prime is 43481683023017. The reversal of 43481683023016 is 61032038618434.

43481683023016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42798365866116 + 683317156900 = 6542046^2 + 826630^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (43481683023011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15201490 + ... + 17833918.

Almost surely, 243481683023016 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 43481683023016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49088370046500).

43481683023016 is an abundant number, since it is smaller than the sum of its proper divisors (54695057069984).

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

43481683023016 is a wasteful number, since it uses less digits than its factorization.

43481683023016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633931 (or 2633920 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 43481683023016 in words is "forty-three trillion, four hundred eighty-one billion, six hundred eighty-three million, twenty-three thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1453 1624 2842 2906 5684 5812 10171 11368 11624 20342 40684 42137 71197 81368 84274 142394 168548 284788 294959 337096 569576 589918 1179836 2064713 2359672 2632429 4129426 5264858 8258852 10529716 16517704 18427003 21059432 36854006 73708012 76340441 128989021 147416024 152680882 257978042 305361764 515956084 534383087 610723528 1031912168 1068766174 2137532348 3740681609 3824919337 4275064696 7481363218 7649838674 14962726436 15299677348 26774435359 29925452872 30599354696 53548870718 107097741436 110922660773 187421047513 214195482872 221845321546 374842095026 443690643092 749684190052 776458625411 887381286184 1499368380104 1552917250822 3105834501644 5435210377877 6211669003288 10870420755754 21740841511508 43481683023016