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42003046423568 = 241910111699116933
BaseRepresentation
bin10011000110011100110001…
…01010010101110000010000
312111201110012112011012210002
421203032120222111300100
521001134214341023233
6225155533320425132
711563422434525126
oct1143163052256020
9174643175135702
1042003046423568
1112424434763a8a
12486457b3181a8
131a58b41018919
14a52d5b7b7916
154cc8e03ad6e8
hex263398a95c10

42003046423568 has 80 divisors (see below), whose sum is σ = 86520402072000. Its totient is φ = 19697335718400.

The previous prime is 42003046423567. The next prime is 42003046423621. The reversal of 42003046423568 is 86532464030024.

It is not an unprimeable number, because it can be changed into a prime (42003046423567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359147630 + ... + 359264562.

It is an arithmetic number, because the mean of its divisors is an integer number (1081505025900).

Almost surely, 242003046423568 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 42003046423568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43260201036000).

42003046423568 is an abundant number, since it is smaller than the sum of its proper divisors (44517355648432).

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

42003046423568 is a wasteful number, since it uses less digits than its factorization.

42003046423568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128760 (or 128754 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 42003046423568 in words is "forty-two trillion, three billion, forty-six million, four hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 101 152 202 304 404 808 1616 1919 3838 7676 11699 15352 23398 30704 46796 93592 116933 187184 222281 233866 444562 467732 889124 935464 1181599 1778248 1870928 2221727 2363198 3556496 4443454 4726396 8886908 9452792 11810233 17773816 18905584 22450381 23620466 35547632 44900762 47240932 89801524 94481864 179603048 188963728 224394427 359206096 448788854 897577708 1367999167 1795155416 2735998334 3590310832 5471996668 10943993336 21887986672 25991984173 51983968346 103967936692 138167915867 207935873384 276335831734 415871746768 552671663468 1105343326936 2210686653872 2625190401473 5250380802946 10500761605892 21001523211784 42003046423568