Search a number
-
+
4049370310768 = 242943541375149
BaseRepresentation
bin111010111011010001010…
…001110110100001110000
3112100010010120122100022121
4322323101101312201300
51012321102244421033
612340131031044024
7565362112504156
oct72732121664160
915303116570277
104049370310768
111321367a788a2
12554965b10614
13234b14276183
14dddc21993d6
157050041a62d
hex3aed1476870

4049370310768 has 80 divisors (see below), whose sum is σ = 8320316796000. Its totient is φ = 1905871887360.

The previous prime is 4049370310703. The next prime is 4049370310801. The reversal of 4049370310768 is 8670130739404.

4049370310768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40493703107683 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10606458 + ... + 10981606.

It is an arithmetic number, because the mean of its divisors is an integer number (104003959950).

Almost surely, 24049370310768 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 4049370310768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160158398000).

4049370310768 is an abundant number, since it is smaller than the sum of its proper divisors (4270946485232).

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

4049370310768 is a wasteful number, since it uses less digits than its factorization.

4049370310768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375770 (or 375764 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 4049370310768 in words is "four trillion, forty-nine billion, three hundred seventy million, three hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 541 688 1082 1247 2164 2494 4328 4988 8656 9976 15689 19952 23263 31378 46526 62756 93052 125512 186104 251024 372208 375149 674627 750298 1349254 1500596 2698508 3001192 5397016 6002384 10794032 10879321 16131407 21758642 32262814 43517284 64525628 87034568 129051256 174069136 202955609 258102512 405911218 467810803 811822436 935621606 1623644872 1871243212 3247289744 3742486424 5885712661 7484972848 8727091187 11771425322 17454182374 23542850644 34908364748 47085701288 69816729496 94171402576 139633458992 253085644423 506171288846 1012342577692 2024685155384 4049370310768