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44768000568 = 23353251281499
BaseRepresentation
bin101001101100011000…
…010111101000111000
311021112221220001200010
4221230120113220320
51213141102004233
632322141341520
73143251504044
oct515430275070
9137487801603
1044768000568
1117a93407485
1288148678a0
1342b5b31a85
14224991b024
1512703b2b63
hexa6c617a38

44768000568 has 128 divisors (see below), whose sum is σ = 115123680000. Its totient is φ = 14501760000.

The previous prime is 44768000539. The next prime is 44768000569. The reversal of 44768000568 is 86500086744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44768000569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89715183 + ... + 89715681.

It is an arithmetic number, because the mean of its divisors is an integer number (899403750).

Almost surely, 244768000568 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 44768000568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57561840000).

44768000568 is an abundant number, since it is smaller than the sum of its proper divisors (70355679432).

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

44768000568 is a wasteful number, since it uses less digits than its factorization.

44768000568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 44768000568 in words is "forty-four billion, seven hundred sixty-eight million, five hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 251 281 318 424 499 502 562 636 753 843 998 1004 1124 1272 1497 1506 1686 1996 2008 2248 2994 3012 3372 3992 5988 6024 6744 11976 13303 14893 26447 26606 29786 39909 44679 52894 53212 59572 70531 79341 79818 89358 105788 106424 119144 125249 140219 141062 158682 159636 178716 211576 211593 250498 280438 282124 317364 319272 357432 375747 420657 423186 500996 560876 564248 634728 751494 841314 846372 1001992 1121752 1502988 1682628 1692744 3005976 3365256 3738143 6638197 7431607 7476286 11214429 13276394 14863214 14952572 19914591 22294821 22428858 26552788 29726428 29905144 35194969 39829182 44589642 44857716 53105576 59452856 70389938 79658364 89179284 89715432 105584907 140779876 159316728 178358568 211169814 281559752 422339628 844679256 1865333357 3730666714 5596000071 7461333428 11192000142 14922666856 22384000284 44768000568