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870678263328072 = 2334331324591096163
BaseRepresentation
bin1100010111111000001001010…
…0100110010110110101001000
311020011211000210012021001112220
43011332002110212112311020
51403110143040402444242
612323440023342334040
7351252300013451133
oct30576022446266510
94204730705231486
10870678263328072
1123247463a127731
128179b34488a320
132b4a97b9818484
14115010a4c2721a
156a9d516894bec
hex317e094996d48

870678263328072 has 128 divisors (see below), whose sum is σ = 2235343229222400. Its totient is φ = 282455797059072.

The previous prime is 870678263328061. The next prime is 870678263328073. The reversal of 870678263328072 is 270823362876078.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 870678263327988 and 870678263328006.

It is not an unprimeable number, because it can be changed into a prime (870678263328073) 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, 793748263 + ... + 794844425.

It is an arithmetic number, because the mean of its divisors is an integer number (17463618978300).

Almost surely, 2870678263328072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870678263328072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117671614611200).

870678263328072 is an abundant number, since it is smaller than the sum of its proper divisors (1364664965894328).

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

870678263328072 is a wasteful number, since it uses less digits than its factorization.

870678263328072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098987 (or 1098983 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 69.

The spelling of 870678263328072 in words is "eight hundred seventy trillion, six hundred seventy-eight billion, two hundred sixty-three million, three hundred twenty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 313 344 516 626 939 1032 1252 1878 2459 2504 3756 4918 7377 7512 9836 13459 14754 19672 26918 29508 40377 53836 59016 80754 105737 107672 161508 211474 317211 323016 422948 634422 769667 845896 1096163 1268844 1539334 2192326 2309001 2537688 3078668 3288489 4384652 4618002 6157336 6576978 8769304 9236004 13153956 18472008 26307912 33095681 47135009 66191362 94270018 99287043 132382724 141405027 188540036 198574086 264765448 282810054 343099019 377080072 397148172 565620108 686198038 794296344 1029297057 1131240216 1372396076 2058594114 2695464817 2744792152 4117188228 5390929634 8086394451 8234376456 10781859268 14753257817 16172788902 21563718536 29506515634 32345577804 44259773451 59013031268 64691155608 88519546902 115904987131 118026062536 177039093804 231809974262 347714961393 354078187608 463619948524 695429922786 843680487721 927239897048 1390859845572 1687360975442 2531041463163 2781719691144 3374721950884 5062082926326 6749443901768 10124165852652 20248331705304 36278260972003 72556521944006 108834782916009 145113043888012 217669565832018 290226087776024 435339131664036 870678263328072