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4666112055 = 3351119592803
BaseRepresentation
bin1000101100001111…
…10011100000110111
3110001012010001102000
410112013303200313
534024011041210
62051002550343
7223426204143
oct42607634067
913035101360
104666112055
111a84998060
12aa28083b3
13594927267
143239ca223
151c49a1ac0
hex1161f3837

4666112055 has 128 divisors (see below), whose sum is σ = 9690624000. Its totient is φ = 2106207360.

The previous prime is 4666112047. The next prime is 4666112057. The reversal of 4666112055 is 5502116664.

It is not a de Polignac number, because 4666112055 - 23 = 4666112047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666112057) 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 127 ways as a sum of consecutive naturals, for example, 1663284 + ... + 1666086.

It is an arithmetic number, because the mean of its divisors is an integer number (75708000).

Almost surely, 24666112055 is an apocalyptic number.

4666112055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4666112055 is an abundant number, since it is smaller than the sum of its proper divisors (5024511945).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4666112055 is a wasteful number, since it uses less digits than its factorization.

4666112055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4666112055 is about 68308.9456440370. The cubic root of 4666112055 is about 1671.0331082340.

The spelling of 4666112055 in words is "four billion, six hundred sixty-six million, one hundred twelve thousand, fifty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 59 95 99 135 165 171 177 209 285 295 297 495 513 531 627 649 855 885 1045 1121 1485 1593 1881 1947 2565 2655 2803 3135 3245 3363 5605 5643 5841 7965 8409 9405 9735 10089 12331 14015 16815 17523 25227 28215 29205 30267 30833 36993 42045 50445 53257 61655 75681 87615 92499 110979 126135 151335 154165 159771 165377 184965 266285 277497 332937 378405 462495 479313 496131 554895 585827 798855 826885 832491 1387485 1437939 1488393 1664685 1757481 1819147 2396565 2480655 2929135 3142163 4162455 4465179 5272443 5457441 7189695 7441965 8787405 9095735 9426489 15710815 15817329 16372323 22325895 26362215 27287205 28279467 34563793 47132445 49116969 79086645 81861615 84838401 103691379 141397335 172818965 245584845 311074137 424192005 518456895 933222411 1555370685 4666112055