Search a number
-
+
54406252563 = 31319732693739
BaseRepresentation
bin110010101010110111…
…011000100000010011
312012102122221222211020
4302222313120200103
51342411000040223
640554402450523
73634144342065
oct625267304023
9165378858736
1054406252563
1121089a028a3
12a664663a43
1351908b1970
1428c19d5735
1516366161e3
hexcaadd8813

54406252563 has 64 divisors (see below), whose sum is σ = 83692224000. Its totient is φ = 31159489536.

The previous prime is 54406252531. The next prime is 54406252573. The reversal of 54406252563 is 36525260445.

It is not a de Polignac number, because 54406252563 - 25 = 54406252531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54406252573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14549148 + ... + 14552886.

It is an arithmetic number, because the mean of its divisors is an integer number (1307691000).

Almost surely, 254406252563 is an apocalyptic number.

54406252563 is a deficient number, since it is larger than the sum of its proper divisors (29285971437).

54406252563 is a wasteful number, since it uses less digits than its factorization.

54406252563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 54406252563 in words is "fifty-four billion, four hundred six million, two hundred fifty-two thousand, five hundred sixty-three".

Divisors: 1 3 13 19 39 57 73 219 247 269 741 807 949 1387 2847 3497 3739 4161 5111 10491 11217 15333 18031 19637 48607 54093 58911 66443 71041 145821 199329 213123 255281 272947 373103 765843 818841 923533 1005791 1119309 2770599 3017373 3548311 4850339 5185993 10644933 13075283 14551017 15557979 19110029 39225849 57330087 67417909 73422743 202253727 220268229 248430377 745291131 954495659 1395032117 2863486977 4185096351 18135417521 54406252563