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332198918689 = 11215123472
BaseRepresentation
bin1001101010110001001…
…10010011101000100001
31011202110111212120111011
410311120212103220201
520420320410344224
6412335435420521
733000125135011
oct4653046235041
91152414776434
10332198918689
111189806a1500
12544708b4741
1325431937111
1412115625c41
15899438e394
hex4d58993a21

332198918689 has 27 divisors (see below), whose sum is σ = 368640810993. Its totient is φ = 299134473000.

The previous prime is 332198918677. The next prime is 332198918719. The reversal of 332198918689 is 986819891233.

The square root of 332198918689 is 576367.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 332198918689 - 229 = 331662047777 is a prime.

It is a super-2 number, since 2×3321989186892 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332198918189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 957345414 + ... + 957345760.

Almost surely, 2332198918689 is an apocalyptic number.

332198918689 is the 576367-th square number.

332198918689 is the 288184-th centered octagonal number.

It is an amenable number.

332198918689 is a deficient number, since it is larger than the sum of its proper divisors (36441892304).

332198918689 is an frugal number, since it uses more digits than its factorization.

332198918689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 509 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 67.

The spelling of 332198918689 in words is "three hundred thirty-two billion, one hundred ninety-eight million, nine hundred eighteen thousand, six hundred eighty-nine".

Divisors: 1 11 121 151 347 1661 3817 18271 22801 41987 52397 120409 250811 576367 1324499 2758921 6340037 7911947 14569489 18181759 87031417 199999349 957345587 2199992839 2745445609 30199901699 332198918689