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450461872320 = 2635469231117
BaseRepresentation
bin1101000111000011001…
…11101011000011000000
31121001201110111002022220
412203201213223003000
524340021214403240
6542534521131040
744354602511205
oct6434147530300
91531643432286
10450461872320
11164048a8aa09
1273376929a80
133362aca38a5
1417b33da1cac
15bab6ac45d0
hex68e19eb0c0

450461872320 has 56 divisors (see below), whose sum is σ = 1430216447664. Its totient is φ = 120123165696.

The previous prime is 450461872313. The next prime is 450461872403. The reversal of 450461872320 is 23278164054.

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 7 ways as a sum of consecutive naturals, for example, 234614599 + ... + 234616518.

Almost surely, 2450461872320 is an apocalyptic number.

450461872320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450461872320 is an abundant number, since it is smaller than the sum of its proper divisors (979754575344).

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

450461872320 is a wasteful number, since it uses less digits than its factorization.

450461872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469231137 (or 469231127 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 450461872320 in words is "four hundred fifty billion, four hundred sixty-one million, eight hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 469231117 938462234 1407693351 1876924468 2346155585 2815386702 3753848936 4692311170 5630773404 7038466755 7507697872 9384622340 11261546808 14076933510 15015395744 18769244680 22523093616 28153867020 30030791488 37538489360 45046187232 56307734040 75076978720 90092374464 112615468080 150153957440 225230936160 450461872320