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205243133154152 = 2317194310717263303
BaseRepresentation
bin101110101010101011100100…
…000010110101001101101000
3222220201001101211200010110212
4232222223210002311031220
5203400200414041413102
62004303221013200252
761142220112635662
oct5652534402651550
9886631354603425
10205243133154152
115a44013aa96145
121b0295b2030088
138a6a46288a422
143897b6bc03532
1518adca1813c52
hexbaaae40b5368

205243133154152 has 128 divisors (see below), whose sum is σ = 442990191283200. Its totient is φ = 88538366020608.

The previous prime is 205243133154151. The next prime is 205243133154179. The reversal of 205243133154152 is 251451331342502.

205243133154152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205243133154151) 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, 3257333 + ... + 20520635.

It is an arithmetic number, because the mean of its divisors is an integer number (3460860869400).

Almost surely, 2205243133154152 is an apocalyptic number.

It is an amenable number.

205243133154152 is an abundant number, since it is smaller than the sum of its proper divisors (237747058129048).

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

205243133154152 is a wasteful number, since it uses less digits than its factorization.

205243133154152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17263495 (or 17263491 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 205243133154152 its reverse (251451331342502), we get a palindrome (456694464496654).

The spelling of 205243133154152 in words is "two hundred five trillion, two hundred forty-three billion, one hundred thirty-three million, one hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 107 136 152 172 214 323 344 428 646 731 817 856 1292 1462 1634 1819 2033 2584 2924 3268 3638 4066 4601 5848 6536 7276 8132 9202 13889 14552 16264 18404 27778 34561 36808 55556 69122 78217 87419 111112 138244 156434 174838 276488 312868 349676 625736 699352 1486123 2972246 5944492 11888984 17263303 34526606 69053212 138106424 293476151 328002757 586952302 656005514 742322029 1173904604 1312011028 1484644058 1847173421 2347809208 2624022056 2969288116 3694346842 5576046869 5938576232 7388693684 11152093738 12619474493 14104118551 14777387368 22304187476 25238948986 28208237102 31401948157 35096294999 44608374952 50477897972 56416474204 62803896314 70192589998 79428457103 100955795944 112832948408 125607792628 140385179996 158856914206 239770015367 251215585256 280770359992 317713828412 479540030734 596637014983 635427656824 959080061468 1193274029966 1350283770751 1509140684957 1918160122936 2386548059932 2700567541502 3018281369914 4773096119864 5401135083004 6036562739828 10802270166008 12073125479656 25655391644269 51310783288538 102621566577076 205243133154152