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82414882460 = 225211155912527
BaseRepresentation
bin100110011000001001…
…1110100111010011100
321212201122010210222002
41030300103310322130
52322241202214320
6101505540541432
75645213641151
oct1146023647234
9255648123862
1082414882460
1131a52064009
1213b806b1878
137a05531751
143dbb790228
1522254d4675
hex13304f4e9c

82414882460 has 48 divisors (see below), whose sum is σ = 174016926720. Its totient is φ = 32786053440.

The previous prime is 82414882423. The next prime is 82414882463. The reversal of 82414882460 is 6428841428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82414882463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6572717 + ... + 6585243.

It is an arithmetic number, because the mean of its divisors is an integer number (3625352640).

Almost surely, 282414882460 is an apocalyptic number.

It is an amenable number.

82414882460 is an abundant number, since it is smaller than the sum of its proper divisors (91602044260).

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

82414882460 is a wasteful number, since it uses less digits than its factorization.

82414882460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14306 (or 14304 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 47.

The spelling of 82414882460 in words is "eighty-two billion, four hundred fourteen million, eight hundred eighty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 1559 2110 3118 4220 6236 7795 12527 15590 25054 31180 50108 62635 125270 250540 328949 657898 1315796 1644745 2643197 3289490 5286394 6578980 10572788 13215985 19529593 26431970 39059186 52863940 78118372 97647965 195295930 390591860 4120744123 8241488246 16482976492 20603720615 41207441230 82414882460