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55121376005664 = 2533743360893149
BaseRepresentation
bin11001000100001111100100…
…00010010100111000100000
321020011112220110122022222020
430202013302002110320200
524211102034224140124
6313122224402541440
714416250040255063
oct1442076202247040
9236145813568866
1055121376005664
1116621931820131
126222a85367880
13249ac00a9b827
14d87c62d608da
15658c7803c379
hex3221f2094e20

55121376005664 has 96 divisors (see below), whose sum is σ = 152060163393600. Its totient is φ = 17461454072832.

The previous prime is 55121376005623. The next prime is 55121376005677. The reversal of 55121376005664 is 46650067312155.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180293839 + ... + 180599310.

It is an arithmetic number, because the mean of its divisors is an integer number (1583960035350).

Almost surely, 255121376005664 is an apocalyptic number.

It is an amenable number.

55121376005664 is an abundant number, since it is smaller than the sum of its proper divisors (96938787387936).

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

55121376005664 is a wasteful number, since it uses less digits than its factorization.

55121376005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360893242 (or 360893234 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 55121376005664 in words is "fifty-five trillion, one hundred twenty-one billion, three hundred seventy-six million, five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 74 86 96 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1184 1376 1591 1776 2064 3182 3552 4128 4773 6364 9546 12728 19092 25456 38184 50912 76368 152736 360893149 721786298 1082679447 1443572596 2165358894 2887145192 4330717788 5774290384 8661435576 11548580768 13353046513 15518405407 17322871152 26706093026 31036810814 34645742304 40059139539 46555216221 53412186052 62073621628 80118279078 93110432442 106824372104 124147243256 160236558156 186220864884 213648744208 248294486512 320473116312 372441729768 427297488416 496588973024 574181000059 640946232624 744883459536 1148362000118 1281892465248 1489766919072 1722543000177 2296724000236 3445086000354 4593448000472 6890172000708 9186896000944 13780344001416 18373792001888 27560688002832 55121376005664