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3327417422641 = 1321403172
BaseRepresentation
bin110000011010111001100…
…010001001001100110001
3102210002122102220200110001
4300122321202021030301
5414004022330011031
611024332223110001
7462253335300304
oct60327142111461
912702572820401
103327417422641
111073171431454
12458a61442301
131b1a0a970c00
14b7095498b3b
155b848e3d861
hex306b9889331

3327417422641 has 9 divisors (see below), whose sum is σ = 3603087147681. Its totient is φ = 3071440346832.

The previous prime is 3327417422633. The next prime is 3327417422647. The reversal of 3327417422641 is 1462247147233.

The square root of 3327417422641 is 1824121.

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

It can be written as a sum of positive squares in 4 ways, for example, as 258754325041 + 3068663097600 = 508679^2 + 1751760^2 .

It is not a de Polignac number, because 3327417422641 - 23 = 3327417422633 is a prime.

It is a super-2 number, since 2×33274174226412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3327417422591 and 3327417422600.

It is not an unprimeable number, because it can be changed into a prime (3327417422647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23643415 + ... + 23783731.

It is an arithmetic number, because the mean of its divisors is an integer number (400343016409).

Almost surely, 23327417422641 is an apocalyptic number.

3327417422641 is the 1824121-st square number.

3327417422641 is the 912061-st centered octagonal number.

It is an amenable number.

3327417422641 is a deficient number, since it is larger than the sum of its proper divisors (275669725040).

3327417422641 is an frugal number, since it uses more digits than its factorization.

3327417422641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280660 (or 140330 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 46.

The spelling of 3327417422641 in words is "three trillion, three hundred twenty-seven billion, four hundred seventeen million, four hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 13 169 140317 1824121 23713573 19688860489 255955186357 3327417422641