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54464020325 = 521113532231289
BaseRepresentation
bin110010101110010011…
…101111111101100101
312012120200122220021222
4302232103233331211
51343020242122300
641004224550125
73635445351161
oct625623577545
9165520586258
1054464020325
1121109579650
12a67ba82345
13519c859880
1428c9551ca1
15163b727785
hexcae4eff65

54464020325 has 96 divisors (see below), whose sum is σ = 81264798720. Its totient is φ = 35684812800.

The previous prime is 54464020319. The next prime is 54464020339. The reversal of 54464020325 is 52302046445.

It is not a de Polignac number, because 54464020325 - 220 = 54462971749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42252281 + ... + 42253569.

It is an arithmetic number, because the mean of its divisors is an integer number (846508320).

Almost surely, 254464020325 is an apocalyptic number.

54464020325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54464020325 is a deficient number, since it is larger than the sum of its proper divisors (26800778395).

54464020325 is a wasteful number, since it uses less digits than its factorization.

54464020325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 54464020325 in words is "fifty-four billion, four hundred sixty-four million, twenty thousand, three hundred twenty-five".

Divisors: 1 5 11 13 25 53 55 65 143 223 265 275 325 583 689 715 1115 1289 1325 2453 2899 2915 3445 3575 5575 6445 7579 11819 12265 14179 14495 14575 16757 17225 31889 32225 37895 59095 61325 68317 70895 72475 83785 130009 153647 159445 184327 189475 287447 295475 341585 354475 418925 650045 751487 768235 797225 888121 921635 1437235 1690117 1707925 3161917 3250225 3736811 3757435 3841175 4440605 4608175 7186175 8450585 9769331 15234691 15809585 18684055 18787175 22203025 41104921 42252925 48846655 76173455 79047925 93420275 167581601 198050983 205524605 244233275 380867275 837908005 990254915 1027623025 2178560813 4189540025 4951274575 10892804065 54464020325