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2282811682705 = 56731630141617
BaseRepresentation
bin100001001110000010001…
…011011110111110010001
322002020100001220220000221
4201032002023132332101
5244400144242321310
64504413104513041
7323633126100241
oct41160213367621
98066301826027
102282811682705
11800153755984
1230a51101b781
13137364376018
147c6bacd1b21
153e5ab6b6ada
hex213822def91

2282811682705 has 16 divisors (see below), whose sum is σ = 2743678635984. Its totient is φ = 1823380070400.

The previous prime is 2282811682687. The next prime is 2282811682717. The reversal of 2282811682705 is 5072861182822.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 373263568209 + 1909548114496 = 610953^2 + 1381864^2 .

It is not a de Polignac number, because 2282811682705 - 213 = 2282811674513 is a prime.

It is a super-2 number, since 2×22828116827052 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54832057 + ... + 54873673.

It is an arithmetic number, because the mean of its divisors is an integer number (171479914749).

Almost surely, 22282811682705 is an apocalyptic number.

It is an amenable number.

2282811682705 is a deficient number, since it is larger than the sum of its proper divisors (460866953279).

2282811682705 is a wasteful number, since it uses less digits than its factorization.

2282811682705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58596.

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 2282811682705 in words is "two trillion, two hundred eighty-two billion, eight hundred eleven million, six hundred eighty-two thousand, seven hundred five".

Divisors: 1 5 673 3365 16301 41617 81505 208085 10970573 28008241 54852865 140041205 678398717 3391993585 456562336541 2282811682705