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99669826080 = 253451119311187
BaseRepresentation
bin101110011010011001…
…0001101101000100000
3100112021011100202210000
41130310302031220200
53113110433413310
6113442050140000
710125624354216
oct1346462155040
9315234322700
1099669826080
11392a70225a0
1217397281600
1395252a8766
144b77274cb6
1528d526a4c0
hex1734c8da20

99669826080 has 960 divisors, whose sum is σ = 417306193920. Its totient is φ = 22133606400.

The previous prime is 99669826027. The next prime is 99669826093. The reversal of 99669826080 is 8062896699.

It is a junction number, because it is equal to n+sod(n) for n = 99669825999 and 99669826017.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83967247 + ... + 83968433.

It is an arithmetic number, because the mean of its divisors is an integer number (434693952).

Almost surely, 299669826080 is an apocalyptic number.

99669826080 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 99669826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208653096960).

99669826080 is an abundant number, since it is smaller than the sum of its proper divisors (317636367840).

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

99669826080 is a wasteful number, since it uses less digits than its factorization.

99669826080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 99669826080 in words is "ninety-nine billion, six hundred sixty-nine million, eight hundred twenty-six thousand, eighty".