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42265512405 = 3251055988951
BaseRepresentation
bin100111010111001110…
…001000100111010101
311001002120000111021100
4213113032020213111
51143024432344110
631225544340313
73024243633144
oct472716104725
9131076014240
1042265512405
1116a19864046
128236774699
133ca7540c4c
14208d41d75b
151175844bc0
hex9d73889d5

42265512405 has 24 divisors (see below), whose sum is σ = 73267983360. Its totient is φ = 22539218400.

The previous prime is 42265512383. The next prime is 42265512409. The reversal of 42265512405 is 50421556224.

42265512405 is a `hidden beast` number, since 42 + 2 + 65 + 512 + 40 + 5 = 666.

It is not a de Polignac number, because 42265512405 - 222 = 42261318101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42265512405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42265512409) 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 23 ways as a sum of consecutive naturals, for example, 430680 + ... + 519630.

It is an arithmetic number, because the mean of its divisors is an integer number (3052832640).

Almost surely, 242265512405 is an apocalyptic number.

42265512405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42265512405 is a deficient number, since it is larger than the sum of its proper divisors (31002470955).

42265512405 is a wasteful number, since it uses less digits than its factorization.

42265512405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99521 (or 99518 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 42265512405 in words is "forty-two billion, two hundred sixty-five million, five hundred twelve thousand, four hundred five".

Divisors: 1 3 5 9 15 45 10559 31677 52795 88951 95031 158385 266853 444755 475155 800559 1334265 4002795 939233609 2817700827 4696168045 8453102481 14088504135 42265512405