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99859000824 = 2333111723472287
BaseRepresentation
bin101110100000000001…
…1110110110111111000
3100112202100022211202000
41131000003312313320
53114002401011244
6113512524541000
710133412334122
oct1350003666770
9315670284660
1099859000824
1139393891360
121742a6b1760
13955554268b
144b9443a212
1528e6b87169
hex17400f6df8

99859000824 has 512 divisors, whose sum is σ = 341596569600. Its totient is φ = 26650736640.

The previous prime is 99859000789. The next prime is 99859000859. The reversal of 99859000824 is 42800095899.

It is an interprime number because it is at equal distance from previous prime (99859000789) and next prime (99859000859).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43662609 + ... + 43664895.

It is an arithmetic number, because the mean of its divisors is an integer number (667180800).

Almost surely, 299859000824 is an apocalyptic number.

99859000824 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

99859000824 is the 168912-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99859000824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170798284800).

99859000824 is an abundant number, since it is smaller than the sum of its proper divisors (241737568776).

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

99859000824 is a wasteful number, since it uses less digits than its factorization.

99859000824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 99859000824 in words is "ninety-nine billion, eight hundred fifty-nine million, eight hundred twenty-four", and thus it is an aban number.