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65142203229184 = 21031128112
BaseRepresentation
bin11101100111111000110011…
…11000100010010000000000
322112122112102010222011101111
432303330121320202100000
532014242213011313214
6350313525351413104
716502240344255564
oct1663743170422000
9275575363864344
1065142203229184
1119835720518474
127380bb4084194
132a46b63ac6b43
141212c841896a4
1577e77164e5c4
hex3b3f19e22400

65142203229184 has 99 divisors (see below), whose sum is σ = 130802138509683. Its totient is φ = 32426338867200.

The previous prime is 65142203229179. The next prime is 65142203229193. The reversal of 65142203229184 is 48192230224156.

The square root of 65142203229184 is 8071072.

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

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, 80323308139 + ... + 80323308949.

Almost surely, 265142203229184 is an apocalyptic number.

65142203229184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65142203229184 is the 8071072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65142203229184

65142203229184 is an abundant number, since it is smaller than the sum of its proper divisors (65659935280499).

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

65142203229184 is an frugal number, since it uses more digits than its factorization.

65142203229184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 65142203229184 in words is "sixty-five trillion, one hundred forty-two billion, two hundred three million, two hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 311 512 622 811 1024 1244 1622 2488 3244 4976 6488 9952 12976 19904 25952 39808 51904 79616 96721 103808 159232 193442 207616 252221 318464 386884 415232 504442 657721 773768 830464 1008884 1315442 1547536 2017768 2630884 3095072 4035536 5261768 6190144 8071072 10523536 12380288 16142144 21047072 24760576 32284288 42094144 49521152 64568576 78440731 84188288 99042304 129137152 156881462 168376576 204551231 258274304 313762924 336753152 409102462 627525848 673506304 818204924 1255051696 1636409848 2510103392 3272819696 5020206784 6545639392 10040413568 13091278784 20080827136 26182557568 40161654272 52365115136 63615432841 80323308544 104730230272 127230865682 209460460544 254461731364 508923462728 1017846925456 2035693850912 4071387701824 8142775403648 16285550807296 32571101614592 65142203229184