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83241482256 = 2432240432
BaseRepresentation
bin100110110000110010…
…1000011100000010000
321221212020112102201100
41031201211003200100
52330434304413011
6102123545504400
76004541632122
oct1154145034020
9257766472640
1083241482256
1132336712739
12141714a2100
137b07868a5a
144059481212
152272d62d56
hex1361943810

83241482256 has 45 divisors (see below), whose sum is σ = 232970226879. Its totient is φ = 27746006688.

The previous prime is 83241482237. The next prime is 83241482287. The reversal of 83241482256 is 65228414238.

The square root of 83241482256 is 288516.

It is a perfect power (a square), and thus also a powerful number.

83241482256 is a `hidden beast` number, since 8 + 3 + 2 + 414 + 8 + 225 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3450171 + ... + 3474213.

Almost surely, 283241482256 is an apocalyptic number.

83241482256 is the 288516-th square number.

It is an amenable number.

83241482256 is an abundant number, since it is smaller than the sum of its proper divisors (149728744623).

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

83241482256 is an frugal number, since it uses more digits than its factorization.

83241482256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48100 (or 24048 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 83241482256 in words is "eighty-three billion, two hundred forty-one million, four hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 24043 48086 72129 96172 144258 192344 216387 288516 384688 432774 577032 865548 1154064 1731096 3462192 578065849 1156131698 1734197547 2312263396 3468395094 4624526792 5202592641 6936790188 9249053584 10405185282 13873580376 20810370564 27747160752 41620741128 83241482256