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54719502084 = 223213229992
BaseRepresentation
bin110010111101100010…
…010101011100000100
312020020111101201101100
4302331202111130010
51344031143031314
641045432500100
73645000044022
oct627542253404
9166214351340
1054719502084
112122a8068a5
12a73154a630
13521076b400
142911457712
151653d90c09
hexcbd895704

54719502084 has 81 divisors (see below), whose sum is σ = 149827057653. Its totient is φ = 16831155744.

The previous prime is 54719502031. The next prime is 54719502091. The reversal of 54719502084 is 48020591745.

The square root of 54719502084 is 233922.

It is a perfect power (a square), and thus also a powerful number.

54719502084 is a `hidden beast` number, since 54 + 7 + 19 + 502 + 0 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8094600900 + 46624901184 = 89970^2 + 215928^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 18244417 + ... + 18247415.

Almost surely, 254719502084 is an apocalyptic number.

54719502084 is the 233922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54719502084

54719502084 is an abundant number, since it is smaller than the sum of its proper divisors (95107555569).

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

54719502084 is a wasteful number, since it uses less digits than its factorization.

54719502084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6034 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 54719502084 in words is "fifty-four billion, seven hundred nineteen million, five hundred two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2999 3042 5998 6084 8997 11996 17994 26991 35988 38987 53982 77974 107964 116961 155948 233922 350883 467844 506831 701766 1013662 1403532 1520493 2027324 3040986 4561479 6081972 8994001 9122958 17988002 18245916 26982003 35976004 53964006 80946009 107928012 116922013 161892018 233844026 323784036 350766039 467688052 701532078 1052298117 1403064156 1519986169 2104596234 3039972338 4209192468 4559958507 6079944676 9119917014 13679875521 18239834028 27359751042 54719502084