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2681916705 = 325137362801
BaseRepresentation
bin1001111111011010…
…1100110100100001
320220220111111002100
42133312230310201
520443032313310
61122042441013
7123313626066
oct23766546441
96826444070
102681916705
111156965796
1262a203169
13339824880
141b6286c6d
1510a6b1ec0
hex9fdacd21

2681916705 has 48 divisors (see below), whose sum is σ = 5074904016. Its totient is φ = 1302220800.

The previous prime is 2681916701. The next prime is 2681916799. The reversal of 2681916705 is 5076191862.

It can be written as a sum of positive squares in 8 ways, for example, as 585833616 + 2096083089 = 24204^2 + 45783^2 .

It is not a de Polignac number, because 2681916705 - 22 = 2681916701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2681916701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11305 + ... + 74105.

It is an arithmetic number, because the mean of its divisors is an integer number (105727167).

Almost surely, 22681916705 is an apocalyptic number.

It is an amenable number.

2681916705 is a deficient number, since it is larger than the sum of its proper divisors (2392987311).

2681916705 is a wasteful number, since it uses less digits than its factorization.

2681916705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62898 (or 62895 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2681916705 is about 51787.2253070195. The cubic root of 2681916705 is about 1389.3609720707.

The spelling of 2681916705 in words is "two billion, six hundred eighty-one million, nine hundred sixteen thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 73 117 195 219 365 585 657 949 1095 2847 3285 4745 8541 14235 42705 62801 188403 314005 565209 816413 942015 2449239 2826045 4082065 4584473 7347717 12246195 13753419 22922365 36738585 41260257 59598149 68767095 178794447 206301285 297990745 536383341 893972235 2681916705