Search a number
-
+
455811319044 = 223217266192
BaseRepresentation
bin1101010001000000111…
…10001100010100000100
31121120112021102010200100
412220200132030110010
524432000144202134
6545221414244100
744634300166614
oct6504036142404
91546467363610
10455811319044
11166343674464
127440a356630
1333ca1353893
14180c0628a44
15bccb555999
hex6a2078c504

455811319044 has 81 divisors (see below), whose sum is σ = 1224137347797. Its totient is φ = 142978025088.

The previous prime is 455811319021. The next prime is 455811319063. The reversal of 455811319044 is 440913118554.

The square root of 455811319044 is 675138.

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

455811319044 is a `hidden beast` number, since 4 + 5 + 581 + 13 + 19 + 0 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 354870404100 + 100940914944 = 595710^2 + 317712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68860767 + ... + 68867385.

Almost surely, 2455811319044 is an apocalyptic number.

455811319044 is the 675138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455811319044

455811319044 is an abundant number, since it is smaller than the sum of its proper divisors (768326028753).

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

455811319044 is an equidigital number, since it uses as much as digits as its factorization.

455811319044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13282 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 455811319044 in words is "four hundred fifty-five billion, eight hundred eleven million, three hundred nineteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 6619 10404 13238 19857 26476 39714 59571 79428 112523 119142 225046 238284 337569 450092 675138 1012707 1350276 1912891 2025414 3825782 4050828 5738673 7651564 11477346 17216019 22954692 34432038 43811161 68864076 87622322 131433483 175244644 262866966 394300449 525733932 744789737 788600898 1489579474 1577201796 2234369211 2979158948 4468738422 6703107633 8937476844 12661425529 13406215266 25322851058 26812430532 37984276587 50645702116 75968553174 113952829761 151937106348 227905659522 455811319044