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86441214468 = 22371278102851
BaseRepresentation
bin101000010000001001…
…1000100001000000100
322021010020101200010210
41100200103010020010
52404012422330333
6103413251115420
76150044125350
oct1204023041004
9267106350123
1086441214468
11337288a2924
1214904ba2b70
1381c774271b
1442803da460
1523adc0ba63
hex14204c4204

86441214468 has 48 divisors (see below), whose sum is σ = 232324972544. Its totient is φ = 24503018400.

The previous prime is 86441214451. The next prime is 86441214473.

86441214468 is nontrivially palindromic in base 10.

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, 4040758 + ... + 4062093.

Almost surely, 286441214468 is an apocalyptic number.

It is an amenable number.

86441214468 is an abundant number, since it is smaller than the sum of its proper divisors (145883758076).

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

86441214468 is a wasteful number, since it uses less digits than its factorization.

86441214468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102992 (or 8102990 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 86441214468 in words is "eighty-six billion, four hundred forty-one million, two hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 5334 10668 8102851 16205702 24308553 32411404 48617106 56719957 97234212 113439914 170159871 226879828 340319742 680639484 1029062077 2058124154 3087186231 4116248308 6174372462 7203434539 12348744924 14406869078 21610303617 28813738156 43220607234 86441214468