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2106442816 = 2657372
BaseRepresentation
bin111110110001101…
…1100010001000000
312102210122101022121
41331203130101000
513303222132231
6545004214024
7103125316462
oct17543342100
95383571277
102106442816
11991039735
124a953a314
1327753558a
1415da86132
15c4ddb311
hex7d8dc440

2106442816 has 21 divisors (see below), whose sum is σ = 4180701189. Its totient is φ = 1053037824.

The previous prime is 2106442799. The next prime is 2106442841. The reversal of 2106442816 is 6182446012.

The square root of 2106442816 is 45896.

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., 18318400 + 2088124416 = 4280^2 + 45696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 364300 + ... + 370036.

It is an arithmetic number, because the mean of its divisors is an integer number (199081009).

Almost surely, 22106442816 is an apocalyptic number.

2106442816 is the 45896-th square number.

It is an amenable number.

2106442816 is a deficient number, since it is larger than the sum of its proper divisors (2074258373).

2106442816 is an frugal number, since it uses more digits than its factorization.

2106442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11486 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The cubic root of 2106442816 is about 1281.8874368473.

Adding to 2106442816 its reverse (6182446012), we get a palindrome (8288888828).

The spelling of 2106442816 in words is "two billion, one hundred six million, four hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 5737 11474 22948 45896 91792 183584 367168 32913169 65826338 131652676 263305352 526610704 1053221408 2106442816