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99108900000 = 253355114771
BaseRepresentation
bin101110001001101011…
…0011100110010100000
3100110211001212202212000
41130103112130302200
53110433334300000
6113310251404000
710106003515215
oct1342326346240
9313731782760
1099108900000
1139039432520
121725b453600
139466011036
144b2297db0c
1528a0dba000
hex171359cca0

99108900000 has 1152 divisors, whose sum is σ = 408213872640. Its totient is φ = 23184000000.

The previous prime is 99108899993. The next prime is 99108900001. The reversal of 99108900000 is 980199.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99108900001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1395899965 + ... + 1395900035.

It is an arithmetic number, because the mean of its divisors is an integer number (354352320).

Almost surely, 299108900000 is an apocalyptic number.

99108900000 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 99108900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204106936320).

99108900000 is an abundant number, since it is smaller than the sum of its proper divisors (309104972640).

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

99108900000 is a wasteful number, since it uses less digits than its factorization.

99108900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 99108900000 in words is "ninety-nine billion, one hundred eight million, nine hundred thousand".