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3978241669809 = 34112201472
BaseRepresentation
bin111001111001000001101…
…011100111101010110001
3112002022112111120000010000
4321321001223213222301
51010134414331413214
612243325021300213
7560263352153121
oct71710153475261
915068474500100
103978241669809
1112a418778a100
12543015104669
1322b1ba060644
14da79570ac81
156d73abb7809
hex39e41ae7ab1

3978241669809 has 45 divisors (see below), whose sum is σ = 6532498835401. Its totient is φ = 2410935884280.

The previous prime is 3978241669781. The next prime is 3978241669859. The reversal of 3978241669809 is 9089661428793.

The square root of 3978241669809 is 1994553.

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

3978241669809 is a `hidden beast` number, since 3 + 9 + 78 + 2 + 416 + 69 + 80 + 9 = 666.

It is not a de Polignac number, because 3978241669809 - 27 = 3978241669681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3978241669859) 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 44 ways as a sum of consecutive naturals, for example, 197450674 + ... + 197470820.

Almost surely, 23978241669809 is an apocalyptic number.

3978241669809 is the 1994553-rd square number.

3978241669809 is the 997277-th centered octagonal number.

It is an amenable number.

3978241669809 is a deficient number, since it is larger than the sum of its proper divisors (2554257165592).

3978241669809 is an frugal number, since it uses more digits than its factorization.

3978241669809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40328 (or 20161 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 3978241669809 in words is "three trillion, nine hundred seventy-eight billion, two hundred forty-one million, six hundred sixty-nine thousand, eight hundred nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 20147 60441 181323 221617 543969 664851 1631907 1994553 2437787 5983659 7313361 17950977 21940083 65820249 197460747 405901609 1217704827 3653114481 4464917699 10959343443 13394753097 32878030329 40184259291 49114094689 120552777873 147342284067 361658333619 442026852201 1326080556603 3978241669809