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82947078764208 = 24331911389430427
BaseRepresentation
bin10010110111000010011111…
…001010100011011010110000
3101212200122220112110222022000
4102313002133022203122300
541333001104130423313
6452225210102214000
723320504636234311
oct2267023712433260
9355618815428260
1082947078764208
112447a72759a10a
129377848a24300
133738b506578c9
14166a9351b8608
1598c99d101673
hex4b709f2a36b0

82947078764208 has 160 divisors (see below), whose sum is σ = 252837706041600. Its totient is φ = 25962010389504.

The previous prime is 82947078764191. The next prime is 82947078764213. The reversal of 82947078764208 is 80246787074928.

It is a happy number.

82947078764208 is a `hidden beast` number, since 8 + 2 + 9 + 470 + 78 + 7 + 64 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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, 43787710 + ... + 45642717.

It is an arithmetic number, because the mean of its divisors is an integer number (1580235662760).

Almost surely, 282947078764208 is an apocalyptic number.

It is an amenable number.

82947078764208 is an abundant number, since it is smaller than the sum of its proper divisors (169890627277392).

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

82947078764208 is a wasteful number, since it uses less digits than its factorization.

82947078764208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89430576 (or 89430564 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 82947078764208 in words is "eighty-two trillion, nine hundred forty-seven billion, seventy-eight million, seven hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 113 114 144 152 171 216 226 228 304 339 342 432 452 456 513 678 684 904 912 1017 1026 1356 1368 1808 2034 2052 2147 2712 2736 3051 4068 4104 4294 5424 6102 6441 8136 8208 8588 12204 12882 16272 17176 19323 24408 25764 34352 38646 48816 51528 57969 77292 103056 115938 154584 231876 309168 463752 927504 89430427 178860854 268291281 357721708 536582562 715443416 804873843 1073165124 1430886832 1609747686 1699178113 2146330248 2414621529 3219495372 3398356226 4292660496 4829243058 5097534339 6438990744 6796712452 9658486116 10105638251 10195068678 12877981488 13593424904 15292603017 19316972232 20211276502 20390137356 27186849808 30316914753 30585206034 38633944464 40422553004 40780274712 45877809051 60633829506 61170412068 80845106008 81560549424 90950744259 91755618102 121267659012 122340824136 161690212016 181901488518 183511236204 192007126769 242535318024 244681648272 272852232777 363802977036 367022472408 384014253538 485070636048 545704465554 576021380307 727605954072 734044944816 768028507076 1091408931108 1152042760614 1455211908144 1536057014152 1728064140921 2182817862216 2304085521228 3072114028304 3456128281842 4365635724432 4608171042456 5184192422763 6912256563684 9216342084912 10368384845526 13824513127368 20736769691052 27649026254736 41473539382104 82947078764208