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1084112016828 = 223414724991999
BaseRepresentation
bin11111100011010100001…
…11001001010110111100
310211122021122000121010120
433301222013021112330
5120230230134014303
62150011214534540
7141216210045621
oct17615207112674
93748248017116
101084112016828
11388850a75095
12156136b07450
137b3012b23b9
143a685374348
151d300c35553
hexfc6a1c95bc

1084112016828 has 144 divisors (see below), whose sum is σ = 2654232000000. Its totient is φ = 344191783680.

The previous prime is 1084112016821. The next prime is 1084112016829. The reversal of 1084112016828 is 8286102114801.

It is a self number, because there is not a number n which added to its sum of digits gives 1084112016828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084112016821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542326173 + ... + 542328171.

Almost surely, 21084112016828 is an apocalyptic number.

It is an amenable number.

1084112016828 is an abundant number, since it is smaller than the sum of its proper divisors (1570119983172).

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

1084112016828 is a wasteful number, since it uses less digits than its factorization.

1084112016828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 1084112016828 in words is "one trillion, eighty-four billion, one hundred twelve million, sixteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 41 47 82 94 123 141 164 188 246 282 492 499 564 998 1497 1927 1996 1999 2209 2994 3854 3998 4418 5781 5988 5997 6627 7708 7996 8836 11562 11994 13254 20459 23124 23453 23988 26508 40918 46906 61377 70359 81836 81959 90569 93812 93953 122754 140718 163918 181138 187906 245508 245877 271707 281436 281859 327836 362276 375812 491754 543414 563718 961573 983508 997501 1086828 1102291 1127436 1923146 1995002 2204582 2884719 2992503 3306873 3846292 3852073 3990004 4409164 4415791 5769438 5985006 6613746 7704146 8831582 11538876 11556219 11970012 13227492 13247373 15408292 17663164 23112438 26494746 40897541 45193931 46224876 46882547 52989492 81795082 90387862 93765094 122692623 135581793 140647641 163590164 180775724 181047431 187530188 245385246 271163586 281295282 362094862 490770492 542327172 543142293 562590564 724189724 1086284586 1922184427 2172569172 2203479709 3844368854 4406959418 5766553281 6610439127 7688737708 8813918836 11533106562 13220878254 23066213124 26441756508 90342668069 180685336138 271028004207 361370672276 542056008414 1084112016828