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46007741444 = 227171910747543
BaseRepresentation
bin101010110110010001…
…100110110000000100
311101202100200102102212
4222312101212300010
51223210440211234
633045145322552
73216054230660
oct526621466004
9141670612385
1046007741444
111856a197115
128abba96458
13445292bb62
1423264338a0
1512e414d5ce
hexab6466c04

46007741444 has 96 divisors (see below), whose sum is σ = 103516600320. Its totient is φ = 17416346112.

The previous prime is 46007741443. The next prime is 46007741449. The reversal of 46007741444 is 44414770064.

It is not an unprimeable number, because it can be changed into a prime (46007741443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943937 + ... + 991479.

It is an arithmetic number, because the mean of its divisors is an integer number (1078297920).

Almost surely, 246007741444 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 46007741444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51758300160).

46007741444 is an abundant number, since it is smaller than the sum of its proper divisors (57508858876).

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

46007741444 is a wasteful number, since it uses less digits than its factorization.

46007741444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47697 (or 47695 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 41.

The spelling of 46007741444 in words is "forty-six billion, seven million, seven hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 107 119 133 214 238 266 323 428 476 532 646 749 1292 1498 1819 2033 2261 2996 3638 4066 4522 7276 8132 9044 12733 14231 25466 28462 34561 47543 50932 56924 69122 95086 138244 190172 241927 332801 483854 665602 808231 903317 967708 1331204 1616462 1806634 3232924 3613268 5087101 5657617 6323219 10174202 11315234 12646438 15356389 20348404 22630468 25292876 30712778 35609707 61425556 71219414 86480717 96654919 107494723 142438828 172961434 193309838 214989446 345922868 386619676 429978892 605365019 676584433 1210730038 1353168866 1643133623 2421460076 2706337732 3286267246 6572534492 11501935361 23003870722 46007741444