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54514778256 = 2432194572
BaseRepresentation
bin110010110001010101…
…011000000010010000
312012201020011200002100
4302301111120002100
51343121240401011
641013240520400
73636632653401
oct626125300220
9165636150070
1054514778256
1121135197854
12a694a80100
1351aa21bc53
1428d21a59a8
151640e01d56
hexcb1558090

54514778256 has 45 divisors (see below), whose sum is σ = 152573505721. Its totient is φ = 18170658816.

The previous prime is 54514778251. The next prime is 54514778257. The reversal of 54514778256 is 65287741545.

It is a happy number.

The square root of 54514778256 is 233484.

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

54514778256 is a `hidden beast` number, since 5 + 4 + 514 + 7 + 78 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44276576400 + 10238201856 = 210420^2 + 101184^2 .

It is a super-2 number, since 2×545147782562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54514778251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2792080 + ... + 2811536.

Almost surely, 254514778256 is an apocalyptic number.

54514778256 is the 233484-th square number.

It is an amenable number.

54514778256 is an abundant number, since it is smaller than the sum of its proper divisors (98058727465).

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

54514778256 is an frugal number, since it uses more digits than its factorization.

54514778256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38928 (or 19462 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 54514778256 in words is "fifty-four billion, five hundred fourteen million, seven hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19457 38914 58371 77828 116742 155656 175113 233484 311312 350226 466968 700452 933936 1400904 2801808 378574849 757149698 1135724547 1514299396 2271449094 3028598792 3407173641 4542898188 6057197584 6814347282 9085796376 13628694564 18171592752 27257389128 54514778256