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412530211150155 = 34571823472916879
BaseRepresentation
bin101110111001100011010110…
…0101100011101100101001011
32000002122111120201011101010000
41131303012230230131211023
5413032343333023301110
64021213432430054043
7152615216126240340
oct13563065454354513
92002574521141100
10412530211150155
1110a49909761018a
123a32715104a323
131492558010c9c7
1473c27d693a7c7
1532a5cce0b91c0
hex17731acb1d94b

412530211150155 has 160 divisors (see below), whose sum is σ = 845833778380800. Its totient is φ = 188430770769408.

The previous prime is 412530211150129. The next prime is 412530211150163. The reversal of 412530211150155 is 551051112035214.

412530211150155 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 30 + 2 + 111 + 501 + 5 + 5 = 666.

It is not a de Polignac number, because 412530211150155 - 224 = 412530194372939 is a prime.

It is a super-2 number, since 2×4125302111501552 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24440433006 + ... + 24440449884.

It is an arithmetic number, because the mean of its divisors is an integer number (5286461114880).

Almost surely, 2412530211150155 is an apocalyptic number.

412530211150155 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

412530211150155 is an abundant number, since it is smaller than the sum of its proper divisors (433303567230645).

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

412530211150155 is a wasteful number, since it uses less digits than its factorization.

412530211150155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23455 (or 23446 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 412530211150155 its reverse (551051112035214), we get a palindrome (963581323185369).

The spelling of 412530211150155 in words is "four hundred twelve trillion, five hundred thirty billion, two hundred eleven million, one hundred fifty thousand, one hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1823 2835 4729 5469 9115 12761 14187 16407 16879 23645 27345 33103 38283 42561 49221 50637 63805 70935 82035 84395 99309 114849 118153 127683 147663 151911 165515 191415 212805 246105 253185 297927 344547 354459 383049 455733 496545 574245 590765 638415 738315 759555 893781 1033641 1063377 1367199 1489635 1722735 1772295 1915245 2278665 2681343 3190131 4468905 5168205 5316885 6835995 8620967 9570393 13406715 15950655 25862901 30770417 43104835 47851965 60346769 77588703 79820791 92311251 129314505 153852085 181040307 215392919 232766109 239462373 276933753 301733845 387943515 399103955 461556255 543120921 558745537 646178757 698298327 718387119 830801259 905201535 1076964595 1163830545 1197311865 1384668765 1629362763 1676236611 1938536271 2155161357 2492403777 2715604605 2793727685 3230893785 3491491635 3591935595 4154006295 4888088289 5028709833 5815608813 6465484071 8146813815 8381183055 9692681355 10775806785 12462018885 15086129499 17446826439 24440441445 25143549165 29078044065 32327420355 45258388497 75430647495 87234132195 145513301993 226291942485 436539905979 727566509965 1018593113951 1309619717937 2182699529895 3055779341853 3928859153811 5092965569755 6548098589685 9167338025559 11786577461433 15278896709265 19644295769055 27502014076677 45836690127795 58932887307165 82506042230031 137510070383385 412530211150155