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42397565361 = 31723674091319
BaseRepresentation
bin100111011111000101…
…111000000110110001
311001102202111110212120
4213133011320012301
51143312234042421
631251022544453
73030436234164
oct473705700661
9131382443776
1042397565361
1116a87358418
128272a38129
133cc89c7ca8
1420a2b95adb
15118222b8c6
hex9df1781b1

42397565361 has 64 divisors (see below), whose sum is σ = 63593164800. Its totient is φ = 24985737216.

The previous prime is 42397565351. The next prime is 42397565363. The reversal of 42397565361 is 16356579324.

It is a happy number.

It is not a de Polignac number, because 42397565361 - 222 = 42393371057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (42397565363) 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 63 ways as a sum of consecutive naturals, for example, 32143060 + ... + 32144378.

It is an arithmetic number, because the mean of its divisors is an integer number (993643200).

Almost surely, 242397565361 is an apocalyptic number.

It is an amenable number.

42397565361 is a deficient number, since it is larger than the sum of its proper divisors (21195599439).

42397565361 is a wasteful number, since it uses less digits than its factorization.

42397565361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838.

The product of its digits is 4082400, while the sum is 51.

The spelling of 42397565361 in words is "forty-two billion, three hundred ninety-seven million, five hundred sixty-five thousand, three hundred sixty-one".

Divisors: 1 3 17 23 51 67 69 201 391 409 1139 1173 1227 1319 1541 3417 3957 4623 6953 9407 20859 22423 26197 27403 28221 30337 67269 78591 82209 88373 91011 159919 265119 465851 479757 515729 539471 630269 1397553 1502341 1547187 1618413 1890807 2032579 4507023 6097737 9171007 10714573 12407833 27513021 32143719 34553843 36144557 37223499 103661529 108433671 210933161 614457469 632799483 831324811 1843372407 2493974433 14132521787 42397565361