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99885166848 = 2834371011289
BaseRepresentation
bin101110100000110011…
…1101011000100000000
3100112211011120012210000
41131001213223010000
53114031100314343
6113515301440000
710134150623655
oct1350147530400
9315734505700
1099885166848
11393a7633275
1217437410000
13955aaa452c
144b97acbc2c
1528e9104ed3
hex17419eb100

99885166848 has 360 divisors, whose sum is σ = 309157473240. Its totient is φ = 32049561600.

The previous prime is 99885166841. The next prime is 99885166859. The reversal of 99885166848 is 84866158899.

99885166848 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 516 + 68 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77800829184 + 22084337664 = 278928^2 + 148608^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (99885166841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77489788 + ... + 77491076.

It is an arithmetic number, because the mean of its divisors is an integer number (858770759).

Almost surely, 299885166848 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 99885166848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154578736620).

99885166848 is an abundant number, since it is smaller than the sum of its proper divisors (209272306392).

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

99885166848 is a wasteful number, since it uses less digits than its factorization.

99885166848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1432 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 72.

The spelling of 99885166848 in words is "ninety-nine billion, eight hundred eighty-five million, one hundred sixty-six thousand, eight hundred forty-eight".