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2813334696 = 2332283138071
BaseRepresentation
bin1010011110110000…
…0001010010101000
321021001210012200100
42213230001102220
521230203202241
61143055305400
7126500643654
oct24754012250
97231705610
102813334696
111214065aa7
1266621b260
1335ab188b3
141c98d5a64
15116ec09b6
hexa7b014a8

2813334696 has 48 divisors (see below), whose sum is σ = 7646427360. Its totient is φ = 934457760.

The previous prime is 2813334683. The next prime is 2813334697. The reversal of 2813334696 is 6964333182.

It is a super-2 number, since 2×28133346962 = 15829704223434824832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2813334697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48660 + ... + 89411.

It is an arithmetic number, because the mean of its divisors is an integer number (159300570).

Almost surely, 22813334696 is an apocalyptic number.

It is an amenable number.

2813334696 is an abundant number, since it is smaller than the sum of its proper divisors (4833092664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2813334696 is a wasteful number, since it uses less digits than its factorization.

2813334696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138366 (or 138359 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 2813334696 is about 53040.8775945497. The cubic root of 2813334696 is about 1411.6936702223.

The spelling of 2813334696 in words is "two billion, eight hundred thirteen million, three hundred thirty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 283 566 849 1132 1698 2264 2547 3396 5094 6792 10188 20376 138071 276142 414213 552284 828426 1104568 1242639 1656852 2485278 3313704 4970556 9941112 39074093 78148186 117222279 156296372 234444558 312592744 351666837 468889116 703333674 937778232 1406667348 2813334696