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450457805346320 = 2458936536300793
BaseRepresentation
bin110011001101100000110000…
…1011110010101011000010000
32012001221100022221221121011002
41212123001201132111120100
5433020300041132040240
64234013243045441132
7163611334225531112
oct14633014136253020
92161840287847132
10450457805346320
1112059109a786372
12426318a77101a8
1316446cb145a1a5
147d343ba21d3b2
1537126943c6d15
hex199b061795610

450457805346320 has 40 divisors (see below), whose sum is σ = 1047315735597336. Its totient is φ = 180182891916288.

The previous prime is 450457805346239. The next prime is 450457805346397. The reversal of 450457805346320 is 23643508754054.

It can be written as a sum of positive squares in 4 ways, for example, as 45132453136 + 450412672893184 = 212444^2 + 21222928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68341844 + ... + 74642636.

Almost surely, 2450457805346320 is an apocalyptic number.

450457805346320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450457805346320 is an abundant number, since it is smaller than the sum of its proper divisors (596857930251016).

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

450457805346320 is a wasteful number, since it uses less digits than its factorization.

450457805346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194459 (or 7194453 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 56.

The spelling of 450457805346320 in words is "four hundred fifty trillion, four hundred fifty-seven billion, eight hundred five million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 893653 1787306 3574612 4468265 6300793 7149224 8936530 12601586 14298448 17873060 25203172 31503965 35746120 50406344 63007930 71492240 100812688 126015860 252031720 504063440 5630722566829 11261445133658 22522890267316 28153612834145 45045780534632 56307225668290 90091561069264 112614451336580 225228902673160 450457805346320