Search a number
-
+
43682672177408 = 281123494040717
BaseRepresentation
bin10011110111010101010100…
…01010000111000100000000
312201200000121112100002112102
421323222222022013010000
521211144103034134113
6232523313105445532
712125653224054125
oct1173525212070400
9181600545302472
1043682672177408
1112a11798703900
124a95bb26408a8
131b4b348681524
14ab037726074c
1550b447188758
hex27baaa287100

43682672177408 has 108 divisors (see below), whose sum is σ = 96116761101900. Its totient is φ = 19798861885440.

The previous prime is 43682672177399. The next prime is 43682672177411. The reversal of 43682672177408 is 80477127628634.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34334537146624 + 9348135030784 = 5859568^2 + 3057472^2 .

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 11 ways as a sum of consecutive naturals, for example, 8790266 + ... + 12830982.

Almost surely, 243682672177408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43682672177408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48058380550950).

43682672177408 is an abundant number, since it is smaller than the sum of its proper divisors (52434088924492).

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

43682672177408 is a wasteful number, since it uses less digits than its factorization.

43682672177408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041104 (or 4041079 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 65.

The spelling of 43682672177408 in words is "forty-three trillion, six hundred eighty-two billion, six hundred seventy-two million, one hundred seventy-seven thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 349 352 484 698 704 968 1396 1408 1936 2792 2816 3839 3872 5584 7678 7744 11168 15356 15488 22336 30712 30976 42229 44672 61424 84458 89344 122848 168916 245696 337832 491392 675664 982784 1351328 2702656 4040717 5405312 8081434 10810624 16162868 32325736 44447887 64651472 88895774 129302944 177791548 258605888 355583096 488926757 517211776 711166192 977853514 1034423552 1410210233 1422332384 1955707028 2820420466 2844664768 3911414056 5640840932 5689329536 7822828112 11281681864 11378659072 15512312563 15645656224 22563363728 31024625126 31291312448 45126727456 62049250252 62582624896 90253454912 124098500504 125165249792 170635438193 180506909824 248197001008 341270876386 361013819648 496394002016 682541752772 992788004032 1365083505544 1985576008064 2730167011088 3971152016128 5460334022176 10920668044352 21841336088704 43682672177408