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42804303808 = 2671722692477
BaseRepresentation
bin100111110111010101…
…011101011111000000
311002111002211221010111
4213313111131133000
51200130400210213
631355232441104
73043505402440
oct476725353700
9132432757114
1042804303808
1117175a05aa2
1283670a9194
134062058726
142100bd2120
1511a7cc1a3d
hex9f755d7c0

42804303808 has 112 divisors (see below), whose sum is σ = 102871097280. Its totient is φ = 17251024896.

The previous prime is 42804303761. The next prime is 42804303821. The reversal of 42804303808 is 80830340824.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17279466 + ... + 17281942.

It is an arithmetic number, because the mean of its divisors is an integer number (918491940).

Almost surely, 242804303808 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 42804303808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51435548640).

42804303808 is an abundant number, since it is smaller than the sum of its proper divisors (60066793472).

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

42804303808 is a wasteful number, since it uses less digits than its factorization.

42804303808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 42804303808 in words is "forty-two billion, eight hundred four million, three hundred three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 2269 2477 3808 4538 4954 7616 9076 9908 15883 17339 18152 19816 31766 34678 36304 38573 39632 42109 63532 69356 72608 77146 79264 84218 127064 138712 145216 154292 158528 168436 254128 270011 277424 294763 308584 336872 508256 540022 554848 589526 617168 673744 1016512 1080044 1109696 1179052 1234336 1347488 2160088 2358104 2468672 2694976 4320176 4716208 5620313 8640352 9432416 11240626 17280704 18864832 22481252 39342191 44962504 78684382 89925008 95545321 157368764 179850016 191090642 314737528 359700032 382181284 629475056 668817247 764362568 1258950112 1337634494 1528725136 2517900224 2675268988 3057450272 5350537976 6114900544 10701075952 21402151904 42804303808