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82385710992 = 24321344009461
BaseRepresentation
bin100110010111010010…
…0100010111110010000
321212122121020202020100
41030232210202332100
52322211220222432
6101503015412400
75644410663144
oct1145644427620
9255577222210
1082385710992
1131a3764a062
1213b72984100
1379cc489920
143db7959224
152222b7107c
hex132e922f90

82385710992 has 60 divisors (see below), whose sum is σ = 248301384604. Its totient is φ = 25349448960.

The previous prime is 82385710973. The next prime is 82385711021. The reversal of 82385710992 is 29901758328.

It can be written as a sum of positive squares in 2 ways, for example, as 45994807296 + 36390903696 = 214464^2 + 190764^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22002859 + ... + 22006602.

Almost surely, 282385710992 is an apocalyptic number.

It is an amenable number.

82385710992 is an abundant number, since it is smaller than the sum of its proper divisors (165915673612).

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

82385710992 is a wasteful number, since it uses less digits than its factorization.

82385710992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44009488 (or 44009479 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 82385710992 in words is "eighty-two billion, three hundred eighty-five million, seven hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 44009461 88018922 132028383 176037844 264056766 352075688 396085149 528113532 572122993 704151376 792170298 1056227064 1144245986 1584340596 1716368979 2112454128 2288491972 3168681192 3432737958 4576983944 5149106937 6337362384 6865475916 9153967888 10298213874 13730951832 20596427748 27461903664 41192855496 82385710992