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189085989305352 = 233176723928941863
BaseRepresentation
bin101010111111100100000011…
…001110010111110000001000
3220210111102222201000200122010
4222333210003032113300020
5144240441101230232402
61510052523155055520
754554004041136336
oct5277440316276010
9823442881020563
10189085989305352
1155280a10557257
121925a16b2a15a0
138167969a928c9
143499b4c850b56
1516cd861ac7a6c
hexabf903397c08

189085989305352 has 128 divisors (see below), whose sum is σ = 510117718118400. Its totient is φ = 58191202341888.

The previous prime is 189085989305303. The next prime is 189085989305357. The reversal of 189085989305352 is 253503989580981.

It is a super-2 number, since 2×1890859893053522 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189085989305357) by changing a digit.

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, 7937628 + ... + 21004235.

It is an arithmetic number, because the mean of its divisors is an integer number (3985294672800).

Almost surely, 2189085989305352 is an apocalyptic number.

189085989305352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189085989305352 is an abundant number, since it is smaller than the sum of its proper divisors (321031728813048).

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

189085989305352 is a wasteful number, since it uses less digits than its factorization.

189085989305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28942195 (or 28942191 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 75.

The spelling of 189085989305352 in words is "one hundred eighty-nine trillion, eighty-five billion, nine hundred eighty-nine million, three hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 239 268 402 408 478 536 717 804 956 1139 1434 1608 1912 2278 2868 3417 4063 4556 5736 6834 8126 9112 12189 13668 16013 16252 24378 27336 32026 32504 48039 48756 64052 96078 97512 128104 192156 272221 384312 544442 816663 1088884 1633326 2177768 3266652 6533304 28941863 57883726 86825589 115767452 173651178 231534904 347302356 492011671 694604712 984023342 1476035013 1939104821 1968046684 2952070026 3878209642 3936093368 5817314463 5904140052 6917105257 7756419284 11634628926 11808280104 13834210514 15512838568 20751315771 23269257852 27668421028 32964781957 41502631542 46538515704 55336842056 65929563914 83005263084 98894345871 117590789369 131859127828 166010526168 197788691742 235181578738 263718255656 352772368107 395577383484 463446052219 470363157476 705544736214 791154766968 926892104438 940726314952 1390338156657 1411089472428 1853784208876 2780676313314 2822178944856 3707568417752 5561352626628 7878582887723 11122705253256 15757165775446 23635748663169 31514331550892 47271497326338 63028663101784 94542994652676 189085989305352