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51584941201080 = 23357193232139173
BaseRepresentation
bin10111011101010100011100…
…00110001001011010111000
320202122110202020122111110210
423232222032012021122320
523230131424421413310
6301413443403511120
713602613634353260
oct1356521606113270
9222573666574423
1051584941201080
1115489061545011
1259516105284a0
1322a25928838c1
14ca4a1dd667a0
155e6c991b7820
hex2eea8e1896b8

51584941201080 has 128 divisors (see below), whose sum is σ = 186171216422400. Its totient is φ = 11170272978432.

The previous prime is 51584941201021. The next prime is 51584941201093. The reversal of 51584941201080 is 8010214948515.

51584941201080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×515849412010802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1616053627 + ... + 1616085546.

It is an arithmetic number, because the mean of its divisors is an integer number (1454462628300).

Almost surely, 251584941201080 is an apocalyptic number.

It is an amenable number.

51584941201080 is an abundant number, since it is smaller than the sum of its proper divisors (134586275221320).

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

51584941201080 is a wasteful number, since it uses less digits than its factorization.

51584941201080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232139213 (or 3232139209 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 51584941201080 in words is "fifty-one trillion, five hundred eighty-four billion, nine hundred forty-one million, two hundred one thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 3232139173 6464278346 9696417519 12928556692 16160695865 19392835038 22624974211 25857113384 32321391730 38785670076 45249948422 48482087595 61410644287 64642783460 67874922633 77571340152 90499896844 96964175190 113124871055 122821288574 129285566920 135749845266 180999793688 184231932861 193928350380 226249742110 245642577148 271499690532 307053221435 339374613165 368463865722 387856700760 429874510009 452499484220 491285154296 542999381064 614106442870 678749226330 736927731444 859749020018 904998968440 921159664305 1228212885740 1289623530027 1357498452660 1473855462888 1719498040036 1842319328610 2149372550045 2456425771480 2579247060054 2714996905320 3438996080072 3684638657220 4298745100090 5158494120108 6448117650135 7369277314440 8597490200180 10316988240216 12896235300270 17194980400360 25792470600540 51584941201080