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450960773090569 = 72312978612
BaseRepresentation
bin110011010001001010111110…
…0101100000000110100001001
32012010201102120122111100011021
41212202111330230000310021
5433102020130402344234
64235040304050032441
7163662561232031200
oct14642257454006411
92163642518440137
10450960773090569
11120765431982a65
12426b3276578721
13164825593a7841
147d50891650237
1537207d082b9b4
hex19a257cb00d09

450960773090569 has 27 divisors (see below), whose sum is σ = 542060599030983. Its totient is φ = 374065021587600.

The previous prime is 450960773090467. The next prime is 450960773090603. The reversal of 450960773090569 is 965090377069054.

The square root of 450960773090569 is 21235837.

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., 376444860382969 + 74515912707600 = 19402187^2 + 8632260^2 .

It is not a de Polignac number, because 450960773090569 - 211 = 450960773088521 is a prime.

It is a super-2 number, since 2×4509607730905692 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450960773090498 and 450960773090507.

It is not an unprimeable number, because it can be changed into a prime (450960773090369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4608127699 + ... + 4608225559.

It is an arithmetic number, because the mean of its divisors is an integer number (20076318482629).

Almost surely, 2450960773090569 is an apocalyptic number.

450960773090569 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

450960773090569 is the 21235837-th square number.

450960773090569 is the 10617919-th centered octagonal number.

It is an amenable number.

450960773090569 is a deficient number, since it is larger than the sum of its proper divisors (91099825940414).

450960773090569 is an frugal number, since it uses more digits than its factorization.

450960773090569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195798 (or 97899 counting only the distinct ones).

The product of its (nonzero) digits is 385786800, while the sum is 70.

The spelling of 450960773090569 in words is "four hundred fifty trillion, nine hundred sixty billion, seven hundred seventy-three million, ninety thousand, five hundred sixty-nine".

Divisors: 1 7 31 49 217 961 1519 6727 47089 97861 685027 3033691 4795189 21235837 94044421 148650859 658310947 4608176629 9576775321 67037427247 296880034951 469261990729 2078160244657 9203281083481 14547121712599 64422967584367 450960773090569