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378681116544 = 27322911335043
BaseRepresentation
bin1011000001010110010…
…01110100011110000000
31100012102221022212202200
411200223021310132000
522201014331212134
6445544054313200
736234033244563
oct5405311643600
91305387285680
10378681116544
11136663688755
1261483658800
132992b9465c3
1414484a824da
159cb4eac499
hex582b274780

378681116544 has 96 divisors (see below), whose sum is σ = 1127270125800. Its totient is φ = 121874371584.

The previous prime is 378681116543. The next prime is 378681116557. The reversal of 378681116544 is 445611186873.

378681116544 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 81 + 1 + 16 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378681116543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5634114 + ... + 5700929.

Almost surely, 2378681116544 is an apocalyptic number.

It is an amenable number.

378681116544 is an abundant number, since it is smaller than the sum of its proper divisors (748589009256).

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

378681116544 is a wasteful number, since it uses less digits than its factorization.

378681116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335092 (or 11335077 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 378681116544 in words is "three hundred seventy-eight billion, six hundred eighty-one million, one hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 11335043 22670086 34005129 45340172 68010258 90680344 102015387 136020516 181360688 204030774 272041032 328716247 362721376 408061548 544082064 657432494 725442752 816123096 986148741 1088164128 1314864988 1450885504 1632246192 1972297482 2176328256 2629729976 2958446223 3264492384 3944594964 4352656512 5259459952 5916892446 6528984768 7889189928 10518919904 11833784892 13057969536 15778379856 21037839808 23667569784 31556759712 42075679616 47335139568 63113519424 94670279136 126227038848 189340558272 378681116544