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82999123480 = 235713193138713
BaseRepresentation
bin100110101001100100…
…0100001111000011000
321221020100111022222101
41031103020201320120
52324440233422410
6102043531133144
75665536623560
oct1152310417030
9257210438871
1082999123480
1132221928a29
12141042a41b4
137a995a03b0
1440351d3da0
15225b93cd3a
hex1353221e18

82999123480 has 256 divisors, whose sum is σ = 249751756800. Its totient is φ = 24081960960.

The previous prime is 82999123451. The next prime is 82999123481. The reversal of 82999123480 is 8432199928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82999123481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2124604 + ... + 2163316.

It is an arithmetic number, because the mean of its divisors is an integer number (975592800).

Almost surely, 282999123480 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 82999123480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124875878400).

82999123480 is an abundant number, since it is smaller than the sum of its proper divisors (166752633320).

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

82999123480 is a wasteful number, since it uses less digits than its factorization.

82999123480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38794 (or 38790 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

It can be divided in two parts, 829991 and 23480, that added together give a triangular number (853471 = T1306).

The spelling of 82999123480 in words is "eighty-two billion, nine hundred ninety-nine million, one hundred twenty-three thousand, four hundred eighty".