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642087432230874 = 23773345701605789
BaseRepresentation
bin1001000111111110011010000…
…1010100000001011111011010
310010012102221220010211120001220
42101333212201110001133122
51133124430030122341444
610153334521053552510
7252150200065454160
oct22177464124013732
93105387803746056
10642087432230874
11176652829344a43
1260020a19aa5736
132173777b4912b6
14b47b2aa083230
154e3727aacd619
hex247f9a15017da

642087432230874 has 64 divisors (see below), whose sum is σ = 1487739674776320. Its totient is φ = 180939667622400.

The previous prime is 642087432230863. The next prime is 642087432230911. The reversal of 642087432230874 is 478032234780246.

642087432230874 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-3 number, since 3×6420874322308743 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059616372 + ... + 1060222160.

It is an arithmetic number, because the mean of its divisors is an integer number (23245932418380).

Almost surely, 2642087432230874 is an apocalyptic number.

642087432230874 is an abundant number, since it is smaller than the sum of its proper divisors (845652242545446).

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

642087432230874 is a wasteful number, since it uses less digits than its factorization.

642087432230874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951575.

The product of its (nonzero) digits is 86704128, while the sum is 60.

The spelling of 642087432230874 in words is "six hundred forty-two trillion, eighty-seven billion, four hundred thirty-two million, two hundred thirty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 345701 605789 691402 1037103 1211578 1817367 2074206 2419907 3634734 4240523 4839814 7259721 8481046 12721569 14519442 25236173 25443138 44222597 50472346 75708519 88445194 132667791 151417038 176653211 265335582 309558179 353306422 529959633 619116358 928674537 1059919266 1857349074 209421863089 418843726178 628265589267 1256531178534 1465953041623 2931906083246 4397859124869 8795718249738 15287796005497 30575592010994 45863388016491 91726776032982 107014572038479 214029144076958 321043716115437 642087432230874