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45068985576 = 23332312917027
BaseRepresentation
bin101001111110010100…
…100010010011101000
311022022221020200111000
4221332110202103220
51214300130014301
632412052435000
73153565025256
oct517624422350
9138287220430
1045068985576
11181282a3a1a
128899618a60
1343332b6004
1422778a95d6
15128ba18786
hexa7e5224e8

45068985576 has 128 divisors (see below), whose sum is σ = 130754534400. Its totient is φ = 14356647360.

The previous prime is 45068985557. The next prime is 45068985581. The reversal of 45068985576 is 67558986054.

45068985576 is a `hidden beast` number, since 4 + 50 + 6 + 8 + 9 + 8 + 5 + 576 = 666.

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 31 ways as a sum of consecutive naturals, for example, 6410175 + ... + 6417201.

It is an arithmetic number, because the mean of its divisors is an integer number (1021519800).

Almost surely, 245068985576 is an apocalyptic number.

45068985576 is a gapful number since it is divisible by the number (46) 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 45068985576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65377267200).

45068985576 is an abundant number, since it is smaller than the sum of its proper divisors (85685548824).

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

45068985576 is a wasteful number, since it uses less digits than its factorization.

45068985576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 45068985576 in words is "forty-five billion, sixty-eight million, nine hundred eighty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1291 1656 2484 2582 3873 4968 5164 7027 7746 10328 11619 14054 15492 21081 23238 28108 29693 30984 34857 42162 46476 56216 59386 63243 69714 84324 89079 92952 118772 126486 139428 161621 168648 178158 189729 237544 252972 267237 278856 323242 356316 379458 484863 505944 534474 646484 712632 758916 801711 969726 1068948 1292968 1454589 1517832 1603422 1939452 2137896 2909178 3206844 3878904 4363767 5818356 6413688 8727534 9071857 11636712 17455068 18143714 27215571 34910136 36287428 54431142 72574856 81646713 108862284 163293426 208652711 217724568 244940139 326586852 417305422 489880278 625958133 653173704 834610844 979760556 1251916266 1669221688 1877874399 1959521112 2503832532 3755748798 5007665064 5633623197 7511497596 11267246394 15022995192 22534492788 45068985576