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452208108032 = 2911322632
BaseRepresentation
bin1101001010010011011…
…01000010001000000000
31121020020011100001101122
412211021231002020000
524402110233424112
6543424101051412
744446065332342
oct6451155021000
91536204301348
10452208108032
1116486476271a
12737836b6b68
13338489bb065
1417c5bc81292
15bb6a05c872
hex6949b42200

452208108032 has 90 divisors (see below), whose sum is σ = 915078961797. Its totient is φ = 223251030016.

The previous prime is 452208108019. The next prime is 452208108103. The reversal of 452208108032 is 230801802254.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 285600461056 + 166607646976 = 534416^2 + 408176^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=475504.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 452208107983 and 452208108001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1719422333 + ... + 1719422595.

Almost surely, 2452208108032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452208108032

452208108032 is an abundant number, since it is smaller than the sum of its proper divisors (462870853765).

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

452208108032 is an frugal number, since it uses more digits than its factorization.

452208108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 452208108032 in words is "four hundred fifty-two billion, two hundred eight million, one hundred eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 263 452 512 526 904 1052 1808 2104 3616 4208 7232 8416 12769 14464 16832 25538 28928 29719 33664 51076 57856 59438 67328 69169 102152 118876 134656 138338 204304 237752 276676 408608 475504 553352 817216 951008 1106704 1634432 1902016 2213408 3268864 3358247 3804032 4426816 6537728 6716494 7608064 7816097 8853632 13432988 15216128 15632194 17707264 26865976 31264388 35414528 53731952 62528776 107463904 125057552 214927808 250115104 429855616 500230208 859711232 883218961 1000460416 1719422464 1766437922 2000920832 3532875844 4001841664 7065751688 14131503376 28263006752 56526013504 113052027008 226104054016 452208108032