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42505465365 = 3351128623209
BaseRepresentation
bin100111100101100001…
…011110111000010101
311001201021112100212000
4213211201132320111
51144022344342430
631305435345513
73033216331356
oct474541367025
9131637470760
1042505465365
1117032255280
1282a2bb2299
13401517654c
1420b3241d2d
15118b941e60
hex9e585ee15

42505465365 has 32 divisors (see below), whose sum is σ = 82434844800. Its totient is φ = 20608709760.

The previous prime is 42505465337. The next prime is 42505465367. The reversal of 42505465365 is 56356450524.

42505465365 is a `hidden beast` number, since 4 + 2 + 50 + 546 + 53 + 6 + 5 = 666.

It is not a de Polignac number, because 42505465365 - 29 = 42505464853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42505465365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42505465367) 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 31 ways as a sum of consecutive naturals, for example, 14310120 + ... + 14313089.

It is an arithmetic number, because the mean of its divisors is an integer number (2576088900).

Almost surely, 242505465365 is an apocalyptic number.

42505465365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42505465365 is a deficient number, since it is larger than the sum of its proper divisors (39929379435).

42505465365 is a wasteful number, since it uses less digits than its factorization.

42505465365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28623234 (or 28623228 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 42505465365 in words is "forty-two billion, five hundred five million, four hundred sixty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 28623209 85869627 143116045 257608881 314855299 429348135 772826643 944565897 1288044405 1574276495 2833697691 3864133215 4722829485 8501093073 14168488455 42505465365