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3380096958016 = 262298132
BaseRepresentation
bin110001001011111101011…
…110100111111001000000
3102222010121202202100120211
4301023331132213321000
5420334414310124031
611104443424243504
7466126645043452
oct61137536477100
912863552670524
103380096958016
111093544683049
12467103770594
131b69848b060c
14b9851a122d2
155cdcdb74bb1
hex312fd7a7e40

3380096958016 has 21 divisors (see below), whose sum is σ = 6707409087441. Its totient is φ = 1690041124992.

The previous prime is 3380096958011. The next prime is 3380096958023. The reversal of 3380096958016 is 6108596900833.

The square root of 3380096958016 is 1838504.

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., 3031638145600 + 348458812416 = 1741160^2 + 590304^2 .

It is a super-2 number, since 2×33800969580162 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3380096958011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14593126 + ... + 14822938.

Almost surely, 23380096958016 is an apocalyptic number.

3380096958016 is the 1838504-th square number.

It is an amenable number.

3380096958016 is a deficient number, since it is larger than the sum of its proper divisors (3327312129425).

3380096958016 is an frugal number, since it uses more digits than its factorization.

3380096958016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459638 (or 229815 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 3380096958016 in words is "three trillion, three hundred eighty billion, ninety-six million, nine hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 229813 459626 919252 1838504 3677008 7354016 14708032 52814014969 105628029938 211256059876 422512119752 845024239504 1690048479008 3380096958016