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4525735085568 = 29332411135787
BaseRepresentation
bin100000111011011101011…
…0101010000011000000000
3121000122201021000012211000
41001312322311100120000
51043122201140214233
613343032145252000
7644654635334454
oct101667265203000
917018637005730
104525735085568
111495398519824
1261114b634000
1326aa0c854a98
141190923b8664
157cad10b3d13
hex41dbad50600

4525735085568 has 160 divisors (see below), whose sum is σ = 13402145243520. Its totient is φ = 1507941550080.

The previous prime is 4525735085539. The next prime is 4525735085593. The reversal of 4525735085568 is 8655805375254.

It is a happy number.

4525735085568 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 73 + 5 + 0 + 8 + 556 + 8 = 666.

It is a congruent number.

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, 33261771 + ... + 33397557.

It is an arithmetic number, because the mean of its divisors is an integer number (83763407772).

Almost surely, 24525735085568 is an apocalyptic number.

4525735085568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4525735085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701072621760).

4525735085568 is an abundant number, since it is smaller than the sum of its proper divisors (8876410157952).

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

4525735085568 is a wasteful number, since it uses less digits than its factorization.

4525735085568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138225 (or 138203 counting only the distinct ones).

The product of its (nonzero) digits is 201600000, while the sum is 63.

The spelling of 4525735085568 in words is "four trillion, five hundred twenty-five billion, seven hundred thirty-five million, eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 2411 3456 4608 4822 6912 7233 9644 13824 14466 19288 21699 28932 38576 43398 57864 65097 77152 86796 115728 130194 135787 154304 173592 231456 260388 271574 308608 347184 407361 462912 520776 543148 617216 694368 814722 925824 1041552 1086296 1222083 1234432 1388736 1629444 1851648 2083104 2172592 2444166 2777472 3258888 3666249 3703296 4166208 4345184 4888332 5554944 6517776 7332498 8332416 8690368 9776664 11109888 13035552 14664996 16664832 17380736 19553328 26071104 29329992 33329664 34761472 39106656 52142208 58659984 69522944 78213312 104284416 117319968 156426624 208568832 234639936 312853248 327382457 469279872 625706496 654764914 938559744 982147371 1309529828 1877119488 1964294742 2619059656 2946442113 3928589484 5238119312 5892884226 7857178968 8839326339 10476238624 11785768452 15714357936 17678652678 20952477248 23571536904 31428715872 35357305356 41904954496 47143073808 62857431744 70714610712 83809908992 94286147616 125714863488 141429221424 167619817984 188572295232 251429726976 282858442848 377144590464 502859453952 565716885696 754289180928 1131433771392 1508578361856 2262867542784 4525735085568