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42505612335 = 3253130469973
BaseRepresentation
bin100111100101100010…
…000010110000101111
311001201021210211110100
4213211202002300233
51144022414043320
631305442442143
73033220513014
oct474542026057
9131637724410
1042505612335
111703234573a
1282a3063353
1340151c8404
1420b327d70b
15118b970790
hex9e5882c2f

42505612335 has 24 divisors (see below), whose sum is σ = 76053055104. Its totient is φ = 21938379840.

The previous prime is 42505612309. The next prime is 42505612339. The reversal of 42505612335 is 53321650524.

42505612335 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 5 + 612 + 3 + 35 = 666.

It is not a de Polignac number, because 42505612335 - 27 = 42505612207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42505612335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42505612339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15233592 + ... + 15236381.

It is an arithmetic number, because the mean of its divisors is an integer number (3168877296).

Almost surely, 242505612335 is an apocalyptic number.

42505612335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42505612335 is a deficient number, since it is larger than the sum of its proper divisors (33547442769).

42505612335 is a wasteful number, since it uses less digits than its factorization.

42505612335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30470015 (or 30470012 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 42505612335 in words is "forty-two billion, five hundred five million, six hundred twelve thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 30469973 91409919 152349865 274229757 457049595 944569163 1371148785 2833707489 4722845815 8501122467 14168537445 42505612335