Search a number
-
+
5463505214505 = 3251373127935961
BaseRepresentation
bin100111110000001001001…
…0010011001110000101001
3201100022021001221122111200
41033200102102121300221
51204003224313331010
615341522153514413
71102503516036132
oct117402222316051
921308231848450
105463505214505
111817072295508
12742a44a12a09
1330828b4036c0
1414c613b56c89
15971b9459cc0
hex4f812499c29

5463505214505 has 48 divisors (see below), whose sum is σ = 10338249217296. Its totient is φ = 2652880066560.

The previous prime is 5463505214477. The next prime is 5463505214521. The reversal of 5463505214505 is 5054125053645.

5463505214505 is a `hidden beast` number, since 5 + 4 + 635 + 0 + 5 + 2 + 1 + 4 + 5 + 0 + 5 = 666.

5463505214505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3001834521 + 5460503379984 = 54789^2 + 2336772^2 .

It is not a de Polignac number, because 5463505214505 - 25 = 5463505214473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63925276 + ... + 64010685.

It is an arithmetic number, because the mean of its divisors is an integer number (215380192027).

Almost surely, 25463505214505 is an apocalyptic number.

It is an amenable number.

5463505214505 is a deficient number, since it is larger than the sum of its proper divisors (4874744002791).

5463505214505 is a wasteful number, since it uses less digits than its factorization.

5463505214505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127936058 (or 127936055 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 5463505214505 in words is "five trillion, four hundred sixty-three billion, five hundred five million, two hundred fourteen thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 73 117 195 219 365 585 657 949 1095 2847 3285 4745 8541 14235 42705 127935961 383807883 639679805 1151423649 1663167493 1919039415 4989502479 5757118245 8315837465 9339325153 14968507437 24947512395 28017975459 46696625765 74842537185 84053926377 121411226989 140089877295 364233680967 420269631885 607056134945 1092701042901 1821168404835 5463505214505