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1328564527010 = 257172193456473
BaseRepresentation
bin10011010101010100100…
…111011101111110100010
311201000020221112202211222
4103111110213131332202
5133231400004331020
62454200100335042
7164662032102650
oct23252447357642
94630227482758
101328564527010
11472494049106
121955996a4482
139838ac70926
14484350c9dd0
152485b9edb25
hex135549ddfa2

1328564527010 has 96 divisors (see below), whose sum is σ = 3056076051840. Its totient is φ = 406149285888.

The previous prime is 1328564526931. The next prime is 1328564527021. The reversal of 1328564527010 is 107254658231.

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 47 ways as a sum of consecutive naturals, for example, 1343867 + ... + 2112606.

It is an arithmetic number, because the mean of its divisors is an integer number (31834125540).

Almost surely, 21328564527010 is an apocalyptic number.

1328564527010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1328564527010 is an abundant number, since it is smaller than the sum of its proper divisors (1727511524830).

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

1328564527010 is a wasteful number, since it uses less digits than its factorization.

1328564527010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456540 (or 3456523 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 1328564527010 in words is "one trillion, three hundred twenty-eight billion, five hundred sixty-four million, five hundred twenty-seven thousand, ten".

Divisors: 1 2 5 7 10 14 17 19 34 35 38 70 85 95 119 133 170 190 238 266 289 323 578 595 646 665 1190 1330 1445 1615 2023 2261 2890 3230 4046 4522 5491 10115 10982 11305 20230 22610 27455 38437 54910 76874 192185 384370 3456473 6912946 17282365 24195311 34564730 48390622 58760041 65672987 117520082 120976555 131345974 241953110 293800205 328364935 411320287 459710909 587600410 656729870 822640574 919421818 998920697 1116440779 1997841394 2056601435 2232881558 2298554545 4113202870 4597109090 4994603485 5582203895 6992444879 7815085453 9989206970 11164407790 13984889758 15630170906 18979493243 34962224395 37958986486 39075427265 69924448790 78150854530 94897466215 132856452701 189794932430 265712905402 664282263505 1328564527010