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282642152881 = 11217228432
BaseRepresentation
bin1000001110011101100…
…10001111110110110001
31000000112211002000212111
410013032302033312301
514112322342343011
6333502150125321
726264064442144
oct4071662176661
91000484060774
10282642152881
11a9960143900
1246940350841
132086496565a
14d973b1205b
15754389d121
hex41cec8fdb1

282642152881 has 27 divisors (see below), whose sum is σ = 330138764683. Its totient is φ = 241747795520.

The previous prime is 282642152867. The next prime is 282642152917. The reversal of 282642152881 is 188251246282.

The square root of 282642152881 is 531641.

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., 220050119025 + 62592033856 = 469095^2 + 250184^2 .

It is not a de Polignac number, because 282642152881 - 213 = 282642144689 is a prime.

It is a super-2 number, since 2×2826421528812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282642152081) 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, 99415446 + ... + 99418288.

Almost surely, 2282642152881 is an apocalyptic number.

282642152881 is the 531641-st square number.

282642152881 is the 265821-st centered octagonal number.

It is an amenable number.

282642152881 is a deficient number, since it is larger than the sum of its proper divisors (47496611802).

282642152881 is an frugal number, since it uses more digits than its factorization.

282642152881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 2871 counting only the distinct ones).

The product of its digits is 983040, while the sum is 49.

Multiplying 282642152881 by its sum of digits (49), we get a square (13849465491169 = 37214872).

The spelling of 282642152881 in words is "two hundred eighty-two billion, six hundred forty-two million, one hundred fifty-two thousand, eight hundred eighty-one".

Divisors: 1 11 17 121 187 289 2057 2843 3179 31273 34969 48331 344003 531641 821627 5848051 8082649 9037897 88909139 99416867 137405033 978000529 1511455363 2335885561 16626008993 25694741171 282642152881