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42369437205 = 33513713916481
BaseRepresentation
bin100111011101011010…
…100100111000010101
311001100210120102022000
4213131122210320111
51143233033442310
631244140025513
73026645162664
oct473532447025
9131323512260
1042369437205
1116a72496307
128265532299
133cc2c2a004
14209d152ddb
15117ea224c0
hex9dd6a4e15

42369437205 has 64 divisors (see below), whose sum is σ = 76423737600. Its totient is φ = 22269358080.

The previous prime is 42369437191. The next prime is 42369437213. The reversal of 42369437205 is 50273496324.

42369437205 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 9 + 437 + 205 = 666.

It is not a de Polignac number, because 42369437205 - 26 = 42369437141 is a prime.

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

It is a congruent number.

It is an unprimeable number.

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, 2562565 + ... + 2579045.

It is an arithmetic number, because the mean of its divisors is an integer number (1194120900).

Almost surely, 242369437205 is an apocalyptic number.

42369437205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42369437205 is a deficient number, since it is larger than the sum of its proper divisors (34054300395).

42369437205 is a wasteful number, since it uses less digits than its factorization.

42369437205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16771 (or 16765 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 42369437205 in words is "forty-two billion, three hundred sixty-nine million, four hundred thirty-seven thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 135 137 139 411 417 685 695 1233 1251 2055 2085 3699 3753 6165 6255 16481 18495 18765 19043 49443 57129 82405 95215 148329 171387 247215 285645 444987 514161 741645 856935 2224935 2257897 2290859 2570805 6773691 6872577 11289485 11454295 20321073 20617731 33868455 34362885 60963219 61853193 101605365 103088655 304816095 309265965 313847683 941543049 1569238415 2824629147 4707715245 8473887441 14123145735 42369437205