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452546816656 = 24112152892
BaseRepresentation
bin1101001010111011110…
…01000110101010010000
31121021002202200020021111
412211131321012222100
524403303441113111
6543521440503104
744460350321134
oct6453571065220
91537082606244
10452546816656
11164a18975500
127385901aa94
13338a0c1c96c
1417c90c4d3c4
15bb89b65a21
hex695de46a90

452546816656 has 45 divisors (see below), whose sum is σ = 963828807753. Its totient is φ = 205689644160.

The previous prime is 452546816641. The next prime is 452546816663. The reversal of 452546816656 is 656618645254.

It is a happy number.

The square root of 452546816656 is 672716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 282934631056 + 169612185600 = 531916^2 + 411840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 452546816656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29591860 + ... + 29607148.

Almost surely, 2452546816656 is an apocalyptic number.

452546816656 is the 672716-th square number.

It is an amenable number.

452546816656 is an abundant number, since it is smaller than the sum of its proper divisors (511281991097).

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

452546816656 is an frugal number, since it uses more digits than its factorization.

452546816656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30608 (or 15302 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 58.

The spelling of 452546816656 in words is "four hundred fifty-two billion, five hundred forty-six million, eight hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 15289 30578 61156 122312 168179 244624 336358 672716 1345432 1849969 2690864 3699938 7399876 14799752 29599504 233753521 467507042 935014084 1870028168 2571288731 3740056336 5142577462 10285154924 20570309848 28284176041 41140619696 56568352082 113136704164 226273408328 452546816656