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99492986880 = 2153657217
BaseRepresentation
bin101110010101000111…
…1101000000000000000
3100111210211121102000000
41130222033220000000
53112230201040010
6113412332000000
710121346302100
oct1345217500000
9314724542000
1099492986880
11392162196a1
1217348000000
1394c7770491
144b5b9a1200
1528c49887c0
hex172a3e8000

99492986880 has 1344 divisors, whose sum is σ = 440952771780. Its totient is φ = 21403533312.

The previous prime is 99492986839. The next prime is 99492986911. The reversal of 99492986880 is 8868929499.

It can be written as a sum of positive squares in 2 ways, for example, as 98907734016 + 585252864 = 314496^2 + 24192^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 99492986799 and 99492986808.

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 83 ways as a sum of consecutive naturals, for example, 5852528632 + ... + 5852528648.

Almost surely, 299492986880 is an apocalyptic number.

99492986880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99492986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220476385890).

99492986880 is an abundant number, since it is smaller than the sum of its proper divisors (341459784900).

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

99492986880 is an frugal number, since it uses more digits than its factorization.

99492986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 99492986880 in words is "ninety-nine billion, four hundred ninety-two million, nine hundred eighty-six thousand, eight hundred eighty".