Search a number
-
+
445843853112 = 233711345195197
BaseRepresentation
bin1100111110011100101…
…11010100111100111000
31120121210121212101220110
412133032113110330320
524301042011244422
6540452353024320
744132266136310
oct6371627247470
91517717771813
10445843853112
11162099260809
12724a82550a0
1333073317948
1417816934440
15b8e647260c
hex67ce5d4f38

445843853112 has 128 divisors (see below), whose sum is σ = 1285644211200. Its totient is φ = 126204438528.

The previous prime is 445843853041. The next prime is 445843853123. The reversal of 445843853112 is 211358348544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85786098 + ... + 85791294.

It is an arithmetic number, because the mean of its divisors is an integer number (10044095400).

Almost surely, 2445843853112 is an apocalyptic number.

445843853112 is a gapful number since it is divisible by the number (42) 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 445843853112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642822105600).

445843853112 is an abundant number, since it is smaller than the sum of its proper divisors (839800358088).

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

445843853112 is a wasteful number, since it uses less digits than its factorization.

445843853112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845 (or 9841 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 445843853112 in words is "four hundred forty-five billion, eight hundred forty-three million, eight hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4519 4746 5197 6328 9038 9492 10394 13557 15591 18076 18984 20788 27114 31182 31633 36152 36379 41576 54228 62364 63266 72758 94899 108456 109137 124728 126532 145516 189798 218274 253064 291032 379596 436548 510647 587261 759192 873096 1021294 1174522 1531941 1761783 2042588 2349044 3063882 3523566 3574529 4085176 4110827 4698088 6127764 7047132 7149058 8221654 10723587 12255528 12332481 14094264 14298116 16443308 21447174 23485243 24664962 28596232 32886616 42894348 46970486 49329924 70455729 85788696 93940972 98659848 140911458 164396701 187881944 281822916 328793402 493190103 563645832 657586804 986380206 1315173608 1972760412 2653832459 3945520824 5307664918 7961497377 10615329836 15922994754 18576827213 21230659672 31845989508 37153654426 55730481639 63691979016 74307308852 111460963278 148614617704 222921926556 445843853112