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42047865963 = 33192312672
BaseRepresentation
bin100111001010001111…
…111000010001101011
311000112101110220111000
4213022033320101223
51142103223202323
631152211410043
73015661651335
oct471217702153
9130471426430
1042047865963
1116917a19054
1281958b3923
133c7141887c
14206c566455
1511616a1e43
hex9ca3f846b

42047865963 has 108 divisors (see below), whose sum is σ = 68962539240. Its totient is φ = 25316303760.

The previous prime is 42047865961. The next prime is 42047865971. The reversal of 42047865963 is 36956874024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42047865963 is a `hidden beast` number, since 4 + 2 + 0 + 47 + 8 + 6 + 596 + 3 = 666.

It is not a de Polignac number, because 42047865963 - 21 = 42047865961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42047865961) 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 107 ways as a sum of consecutive naturals, for example, 627580056 + ... + 627580122.

It is an arithmetic number, because the mean of its divisors is an integer number (638542030).

Almost surely, 242047865963 is an apocalyptic number.

42047865963 is a deficient number, since it is larger than the sum of its proper divisors (26914673277).

42047865963 is an equidigital number, since it uses as much as digits as its factorization.

42047865963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 42047865963 in words is "forty-two billion, forty-seven million, eight hundred sixty-five thousand, nine hundred sixty-three".

Divisors: 1 3 9 19 27 31 57 67 93 171 201 279 361 513 589 603 837 961 1083 1273 1767 1809 2077 2883 3249 3819 4489 5301 6231 8649 9747 11191 11457 13467 15903 18259 18693 24187 25947 33573 34371 39463 40401 54777 56079 64387 72561 85291 100719 118389 121203 139159 164331 193161 217683 255873 302157 346921 355167 417477 492993 579483 653049 749797 767619 1040763 1065501 1223353 1252431 1620529 1738449 2249391 2302857 2644021 3122289 3670059 3757293 4313929 4861587 6748173 7932063 9366867 11010177 12941787 14584761 20244519 23243707 23796189 33030531 38825361 43754283 50236399 69731121 71388567 81964651 116476083 150709197 209193363 245893953 452127591 627580089 737681859 1356382773 1557328369 2213045577 4671985107 14015955321 42047865963