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12383868135045 = 3511237528134919
BaseRepresentation
bin1011010000110101100000…
…0011111010011010000101
31121211212221001200211021110
42310031120003322122011
53110344130220310140
642201023120235233
72415463540224201
oct264153003723205
947755831624243
1012383868135045
113a44a72796300
1214800b046bb19
136baa41b553b4
1430b54d4c5b01
151671ed477380
hexb43580fa685

12383868135045 has 96 divisors (see below), whose sum is σ = 22372736682240. Its totient is φ = 5840747827200.

The previous prime is 12383868134969. The next prime is 12383868135053. The reversal of 12383868135045 is 54053186838321.

It is not a de Polignac number, because 12383868135045 - 27 = 12383868134917 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354628096 + ... + 354663014.

It is an arithmetic number, because the mean of its divisors is an integer number (233049340440).

Almost surely, 212383868135045 is an apocalyptic number.

12383868135045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12383868135045 is a deficient number, since it is larger than the sum of its proper divisors (9988868547195).

12383868135045 is a wasteful number, since it uses less digits than its factorization.

12383868135045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40267 (or 40256 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 12383868135045 in words is "twelve trillion, three hundred eighty-three billion, eight hundred sixty-eight million, one hundred thirty-five thousand, forty-five".

Divisors: 1 3 5 11 15 33 37 55 111 121 165 185 363 407 555 605 1221 1815 2035 4477 5281 6105 13431 15843 22385 26405 34919 58091 67155 79215 104757 174273 174595 195397 290455 384109 523785 586191 639001 871365 976985 1152327 1292003 1917003 1920545 2149367 2930955 3195005 3876009 4225199 5761635 6448101 6460015 9585015 10746835 12675597 14212033 19380045 21125995 23643037 32240505 42636099 63377985 70929111 71060165 118215185 156332363 184407239 213180495 354645555 468997089 553221717 781661815 922036195 2028479629 2344985445 2766108585 6085438887 6823067843 10142398145 20469203529 22313275919 30427194435 34115339215 66939827757 75053746273 102346017645 111566379595 225161238819 334699138785 375268731365 825591209003 1125806194095 2476773627009 4127956045015 12383868135045