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2116096641 = 321713830697
BaseRepresentation
bin111111000100001…
…0001001010000001
312110110210211212200
41332020101022001
513313210043031
6545551143413
7103303344651
oct17610211201
95413724780
102116096641
119965327aa
124b0814b69
132795356b9
1416107a361
15c5b968e6
hex7e211281

2116096641 has 12 divisors (see below), whose sum is σ = 3236383332. Its totient is φ = 1327746816.

The previous prime is 2116096639. The next prime is 2116096643. The reversal of 2116096641 is 1466906112.

2116096641 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 0 + 9 + 6 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (2116096639) and next prime (2116096643).

It can be written as a sum of positive squares in 2 ways, for example, as 740057616 + 1376039025 = 27204^2 + 37095^2 .

It is not a de Polignac number, because 2116096641 - 21 = 2116096639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2116096596 and 2116096605.

It is not an unprimeable number, because it can be changed into a prime (2116096643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6915196 + ... + 6915501.

It is an arithmetic number, because the mean of its divisors is an integer number (269698611).

Almost surely, 22116096641 is an apocalyptic number.

It is an amenable number.

2116096641 is a deficient number, since it is larger than the sum of its proper divisors (1120286691).

2116096641 is a wasteful number, since it uses less digits than its factorization.

2116096641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830720 (or 13830717 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2116096641 is about 46001.0504336586. The cubic root of 2116096641 is about 1283.8427490336.

The spelling of 2116096641 in words is "two billion, one hundred sixteen million, ninety-six thousand, six hundred forty-one".

Divisors: 1 3 9 17 51 153 13830697 41492091 124476273 235121849 705365547 2116096641