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54120634647744 = 263788345603997
BaseRepresentation
bin11000100111000111100010…
…01101000000010011000000
321002121212211002020000121110
430103203301031000103000
524043203024432211434
6311034402030323320
714254041531132510
oct1423436115002300
9232555732200543
1054120634647744
1116276483378045
1260a0b37059540
132427728042c82
14d5164a295840
1563cc066844e9
hex3138f13404c0

54120634647744 has 112 divisors (see below), whose sum is σ = 163835828718848. Its totient is φ = 15445526197248.

The previous prime is 54120634647713. The next prime is 54120634647767. The reversal of 54120634647744 is 44774643602145.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 21615247 + ... + 23988750.

Almost surely, 254120634647744 is an apocalyptic number.

It is an amenable number.

54120634647744 is an abundant number, since it is smaller than the sum of its proper divisors (109715194071104).

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

54120634647744 is a wasteful number, since it uses less digits than its factorization.

54120634647744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45604902 (or 45604892 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 57.

The spelling of 54120634647744 in words is "fifty-four trillion, one hundred twenty billion, six hundred thirty-four million, six hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 883 1344 1766 2649 3532 5298 6181 7064 10596 12362 14128 18543 21192 24724 28256 37086 42384 49448 56512 74172 84768 98896 148344 169536 197792 296688 395584 593376 1186752 45603997 91207994 136811991 182415988 273623982 319227979 364831976 547247964 638455958 729663952 957683937 1094495928 1276911916 1459327904 1915367874 2188991856 2553823832 2918655808 3830735748 4377983712 5107647664 7661471496 8755967424 10215295328 15322942992 20430590656 30645885984 40268329351 61291771968 80536658702 120804988053 161073317404 241609976106 281878305457 322146634808 483219952212 563756610914 644293269616 845634916371 966439904424 1127513221828 1288586539232 1691269832742 1932879808848 2255026443656 2577173078464 3382539665484 3865759617696 4510052887312 6765079330968 7731519235392 9020105774624 13530158661936 18040211549248 27060317323872 54120634647744