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3889288848384 = 21032205432
BaseRepresentation
bin111000100110001011101…
…011100010010000000000
3111202210221020010110221100
4320212023223202100000
51002210230421122014
612134414205454400
7550664126514252
oct70461353422000
914683836113840
103889288848384
11126a490185855
1252992ab71400
132229b2186674
14d635791bcd2
156b28173b009
hex3898bae2400

3889288848384 has 99 divisors (see below), whose sum is σ = 11230783843123. Its totient is φ = 1296366508032.

The previous prime is 3889288848353. The next prime is 3889288848391. The reversal of 3889288848384 is 4838488829883.

The square root of 3889288848384 is 1972128.

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

3889288848384 is a `hidden beast` number, since 3 + 8 + 89 + 2 + 88 + 84 + 8 + 384 = 666.

It is a super-2 number, since 2×38892888483842 (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 189314017 + ... + 189334559.

Almost surely, 23889288848384 is an apocalyptic number.

3889288848384 is the 1972128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3889288848384

3889288848384 is an abundant number, since it is smaller than the sum of its proper divisors (7341494994739).

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

3889288848384 is an frugal number, since it uses more digits than its factorization.

3889288848384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41112 (or 20548 counting only the distinct ones).

The product of its digits is 5435817984, while the sum is 81.

Multiplying 3889288848384 by its sum of digits (81), we get a square (315032396719104 = 177491522).

The spelling of 3889288848384 in words is "three trillion, eight hundred eighty-nine billion, two hundred eighty-eight million, eight hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 20543 41086 61629 82172 123258 164344 184887 246516 328688 369774 493032 657376 739548 986064 1314752 1479096 1972128 2629504 2958192 3944256 5259008 5916384 7888512 10518016 11832768 15777024 21036032 23665536 31554048 47331072 63108096 94662144 189324288 422014849 844029698 1266044547 1688059396 2532089094 3376118792 3798133641 5064178188 6752237584 7596267282 10128356376 13504475168 15192534564 20256712752 27008950336 30385069128 40513425504 54017900672 60770138256 81026851008 108035801344 121540276512 162053702016 216071602688 243080553024 324107404032 432143205376 486161106048 648214808064 972322212096 1296429616128 1944644424192 3889288848384