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1645052112 = 24331132861
BaseRepresentation
bin110001000001101…
…1000000011010000
311020122110022021000
41202003120003100
511332113131422
6431123102000
755523466204
oct14203300320
94218408230
101645052112
11774653000
1239ab11900
13202a7b022
141186a0b04
159964ccac
hex620d80d0

1645052112 has 160 divisors (see below), whose sum is σ = 5195560320. Its totient is φ = 498326400.

The previous prime is 1645052081. The next prime is 1645052137. The reversal of 1645052112 is 2112505461.

1645052112 is a `hidden beast` number, since 1 + 645 + 0 + 5 + 2 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573562 + ... + 576422.

It is an arithmetic number, because the mean of its divisors is an integer number (32472252).

Almost surely, 21645052112 is an apocalyptic number.

1645052112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1645052112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597780160).

1645052112 is an abundant number, since it is smaller than the sum of its proper divisors (3550508208).

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

1645052112 is a wasteful number, since it uses less digits than its factorization.

1645052112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1645052112 is about 40559.2420047515. The cubic root of 1645052112 is about 1180.4834062659.

Adding to 1645052112 its reverse (2112505461), we get a palindrome (3757557573).

The spelling of 1645052112 in words is "one billion, six hundred forty-five million, fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1331 1452 1584 1936 2178 2376 2662 2861 2904 3267 3993 4356 4752 5324 5722 5808 6534 7986 8583 8712 10648 11444 11979 13068 15972 17166 17424 21296 22888 23958 25749 26136 31471 31944 34332 35937 45776 47916 51498 52272 62942 63888 68664 71874 77247 94413 95832 102996 125884 137328 143748 154494 188826 191664 205992 251768 283239 287496 308988 346181 377652 411984 503536 566478 574992 617976 692362 755304 849717 1038543 1132956 1235952 1384724 1510608 1699434 2077086 2265912 2769448 3115629 3398868 3807991 4154172 4531824 5538896 6231258 6797736 7615982 8308344 9346887 11423973 12462516 13595472 15231964 16616688 18693774 22847946 24925032 30463928 34271919 37387548 45695892 49850064 60927856 68543838 74775096 91391784 102815757 137087676 149550192 182783568 205631514 274175352 411263028 548350704 822526056 1645052112