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63105852972816 = 2433433397171241
BaseRepresentation
bin11100101100100111110011…
…11100110001111100010000
322021102212020101200221222000
432112103321330301330100
531232411241330112231
6342114232330314000
716202150602550643
oct1626237174617420
9267385211627860
1063105852972816
1119120050922aa5
1270b2406588900
132929b19688b44
1411824a7b49a5a
157467dc2c56e6
hex3964f9f31f10

63105852972816 has 80 divisors (see below), whose sum is σ = 185349662963520. Its totient is φ = 20546091659520.

The previous prime is 63105852972809. The next prime is 63105852972881. The reversal of 63105852972816 is 61827925850136.

63105852972816 is a `hidden beast` number, since 6 + 3 + 1 + 0 + 585 + 29 + 7 + 28 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698567045 + ... + 1698604196.

It is an arithmetic number, because the mean of its divisors is an integer number (2316870787044).

Almost surely, 263105852972816 is an apocalyptic number.

It is an amenable number.

63105852972816 is an abundant number, since it is smaller than the sum of its proper divisors (122243809990704).

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

63105852972816 is a wasteful number, since it uses less digits than its factorization.

63105852972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397171301 (or 3397171289 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 63105852972816 in words is "sixty-three trillion, one hundred five billion, eight hundred fifty-two million, nine hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 3397171241 6794342482 10191513723 13588684964 20383027446 27177369928 30574541169 40766054892 54354739856 61149082338 81532109784 91723623507 122298164676 146078363363 163064219568 183447247014 244596329352 292156726726 366894494028 438235090089 489192658704 584313453452 733788988056 876470180178 1168626906904 1314705270267 1467577976112 1752940360356 2337253813808 2629410540534 3505880720712 3944115810801 5258821081068 7011761441424 7888231621602 10517642162136 15776463243204 21035284324272 31552926486408 63105852972816