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8204288000205 = 35111271123348637
BaseRepresentation
bin111011101100011010110…
…1011000000000011001101
31002001022200221022001211010
41313120311223000003031
52033404340212001310
625240555312515433
71504511622240453
oct167306553000315
932038627261733
108204288000205
112683467766460
12b0606754bb79
134768793c095b
142051380429d3
15e362ba9d320
hex77635ac00cd

8204288000205 has 64 divisors (see below), whose sum is σ = 14445862944768. Its totient is φ = 3942989487360.

The previous prime is 8204288000197. The next prime is 8204288000219. The reversal of 8204288000205 is 5020008824028.

It is not a de Polignac number, because 8204288000205 - 23 = 8204288000197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23358147 + ... + 23706783.

It is an arithmetic number, because the mean of its divisors is an integer number (225716608512).

Almost surely, 28204288000205 is an apocalyptic number.

It is an amenable number.

8204288000205 is a deficient number, since it is larger than the sum of its proper divisors (6241574944563).

8204288000205 is a wasteful number, since it uses less digits than its factorization.

8204288000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349906.

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 8204288000205 in words is "eight trillion, two hundred four billion, two hundred eighty-eight million, two hundred five", and thus it is an aban number.

Divisors: 1 3 5 11 15 33 55 127 165 381 635 1123 1397 1905 3369 4191 5615 6985 12353 16845 20955 37059 61765 142621 185295 348637 427863 713105 1045911 1568831 1743185 2139315 3835007 4706493 5229555 7844155 11505021 19175035 23532465 44276899 57525105 132830697 221384495 391519351 487045889 664153485 1174558053 1461137667 1957596755 2435229445 4306712861 5872790265 7305688335 12920138583 21533564305 49722957577 64600692915 149168872731 248614787885 546952533347 745844363655 1640857600041 2734762666735 8204288000205