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2355063841 = 13237332
BaseRepresentation
bin1000110001011111…
…0110110000100001
320002010110122020201
42030113312300201
514310344020331
61025405105201
7112234466224
oct21427666041
96063418221
102355063841
11aa9410359
12558858201
132b6bb4400
14184ac35bb
15dbb4ba61
hex8c5f6c21

2355063841 has 9 divisors (see below), whose sum is σ = 2550841209. Its totient is φ = 2173322736.

The previous prime is 2355063833. The next prime is 2355063847. The reversal of 2355063841 is 1483605532.

The square root of 2355063841 is 48529.

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

It can be written as a sum of positive squares in 4 ways, for example, as 264745441 + 2090318400 = 16271^2 + 45720^2 .

It is not a de Polignac number, because 2355063841 - 23 = 2355063833 is a prime.

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 2355063841.

It is not an unprimeable number, because it can be changed into a prime (2355063847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 629011 + ... + 632743.

It is an arithmetic number, because the mean of its divisors is an integer number (283426801).

Almost surely, 22355063841 is an apocalyptic number.

2355063841 is the 48529-th square number.

2355063841 is the 24265-th centered octagonal number.

It is an amenable number.

2355063841 is a deficient number, since it is larger than the sum of its proper divisors (195777368).

2355063841 is an frugal number, since it uses more digits than its factorization.

2355063841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The cubic root of 2355063841 is about 1330.4571592545.

The spelling of 2355063841 in words is "two billion, three hundred fifty-five million, sixty-three thousand, eight hundred forty-one".

Divisors: 1 13 169 3733 48529 630877 13935289 181158757 2355063841