Search a number
-
+
44945823710865 = 3572115559161869
BaseRepresentation
bin10100011100000110000111…
…10110110011111010010001
312220010210000201210111102110
422032003003312303322101
521342343021332221430
6235331454254535533
712316141260665100
oct1216030366637221
9186123021714373
1044945823710865
1113359464827760
12505a9755075a9
131c104b05c57bc
14b15564a0c037
1552e2260ee7b0
hex28e0c3db3e91

44945823710865 has 48 divisors (see below), whose sum is σ = 91259201257920. Its totient is φ = 18678783876480.

The previous prime is 44945823710849. The next prime is 44945823711001. The reversal of 44945823710865 is 56801732854944.

44945823710865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44945823710865 - 24 = 44945823710849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44945823710796 and 44945823710805.

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 47 ways as a sum of consecutive naturals, for example, 2779572850 + ... + 2779589019.

It is an arithmetic number, because the mean of its divisors is an integer number (1901233359540).

It is a 1-persistent number, because it is pandigital, but 2⋅44945823710865 = 89891647421730 is not.

Almost surely, 244945823710865 is an apocalyptic number.

It is an amenable number.

44945823710865 is an abundant number, since it is smaller than the sum of its proper divisors (46313377547055).

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

44945823710865 is a wasteful number, since it uses less digits than its factorization.

44945823710865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559161902 (or 5559161895 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 44945823710865 in words is "forty-four trillion, nine hundred forty-five billion, eight hundred twenty-three million, seven hundred ten thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 5559161869 16677485607 27795809345 38914133083 61150780559 83387428035 116742399249 183452341677 194570665415 272398931581 305753902795 428055463913 583711996245 817196794743 917261708385 1284166391739 1361994657905 2140277319565 2996388247391 4085983973715 6420831958695 8989164742173 14981941236955 44945823710865