Search a number
-
+
45082741964985 = 32513127763275461
BaseRepresentation
bin10100100000000101001001…
…10100100000000010111001
312220121212102210122110120100
422100002210310200002321
521402113423420334420
6235514420432150013
712332056241644404
oct1220024464400271
9186555383573510
1045082741964985
111340153559757a
125081407098309
131c2039088130a
14b1c032c34d3b
15532a8b4d1190
hex2900a4d200b9

45082741964985 has 48 divisors (see below), whose sum is σ = 78743056062528. Its totient is φ = 23859640022400.

The previous prime is 45082741964957. The next prime is 45082741964989. The reversal of 45082741964985 is 58946914728054.

It is a happy number.

45082741964985 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 2 + 7 + 41 + 96 + 498 + 5 = 666.

45082741964985 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45082741964985 - 213 = 45082741956793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45082741964989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163525155 + ... + 163800615.

It is an arithmetic number, because the mean of its divisors is an integer number (1640480334636).

Almost surely, 245082741964985 is an apocalyptic number.

45082741964985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45082741964985 is a deficient number, since it is larger than the sum of its proper divisors (33660314097543).

45082741964985 is a wasteful number, since it uses less digits than its factorization.

45082741964985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303366 (or 303363 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 45082741964985 in words is "forty-five trillion, eighty-two billion, seven hundred forty-one million, nine hundred sixty-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 131 393 655 1179 1965 5895 27763 83289 138815 249867 275461 416445 826383 1249335 1377305 2479149 3636953 4131915 10910859 12395745 18184765 32732577 36085391 54554295 108256173 163662885 180426955 324768519 541280865 1623842595 7647623743 22942871229 38238118715 68828613687 114714356145 344143068435 1001838710333 3005516130999 5009193551665 9016548392997 15027580654995 45082741964985