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54162453556640 = 25511132367240103
BaseRepresentation
bin11000101000010101011011…
…10011011110110110100000
321002202212202111212201001002
430110022231303132312200
524044344201102303030
6311105515422531132
714260052043033632
oct1424125563366640
9232685674781032
1054162453556640
1116292193025280
1260a9068136aa8
13242b660ba6190
14d5369625ca52
1563dd52bac245
hex3142adcdeda0

54162453556640 has 96 divisors (see below), whose sum is σ = 150329215564416. Its totient is φ = 18180403983360.

The previous prime is 54162453556637. The next prime is 54162453556661. The reversal of 54162453556640 is 4665535426145.

54162453556640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1183597172 + ... + 1183642931.

It is an arithmetic number, because the mean of its divisors is an integer number (1565929328796).

Almost surely, 254162453556640 is an apocalyptic number.

It is an amenable number.

54162453556640 is an abundant number, since it is smaller than the sum of its proper divisors (96166762007776).

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

54162453556640 is a wasteful number, since it uses less digits than its factorization.

54162453556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367240142 (or 2367240134 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 56.

The spelling of 54162453556640 in words is "fifty-four trillion, one hundred sixty-two billion, four hundred fifty-three million, five hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 2367240103 4734480206 9468960412 11836200515 18937920824 23672401030 26039641133 30774121339 37875841648 47344802060 52079282266 61548242678 75751683296 94689604120 104158564532 123096485356 130198205665 153870606695 189379208240 208317129064 246192970712 260396411330 307741213390 338515334729 378758416480 416634258128 492385941424 520792822660 615482426780 677030669458 833268516256 984771882848 1041585645320 1230964853560 1354061338916 1692576673645 2083171290640 2461929707120 2708122677832 3385153347290 4166342581280 4923859414240 5416245355664 6770306694580 10832490711328 13540613389160 27081226778320 54162453556640