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99131719680 = 21732575
BaseRepresentation
bin101110001010010110…
…1100000000000000000
3100110212122211010120100
41130110231200000000
53111010210012210
6113312424442400
710106401500000
oct1342455400000
9313778733510
1099131719680
11390502a9264
1217267019400
13946a9709c6
144b25a00000
1528a2dc65c0
hex1714b60000

99131719680 has 648 divisors, whose sum is σ = 400927795632. Its totient is φ = 22658678784.

The previous prime is 99131719633. The next prime is 99131719721. The reversal of 99131719680 is 8691713199.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14161674237 + ... + 14161674243.

It is an arithmetic number, because the mean of its divisors is an integer number (618715734).

Almost surely, 299131719680 is an apocalyptic number.

99131719680 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 99131719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200463897816).

99131719680 is an abundant number, since it is smaller than the sum of its proper divisors (301796075952).

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

99131719680 is an frugal number, since it uses more digits than its factorization.

99131719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 99131719680 in words is "ninety-nine billion, one hundred thirty-one million, seven hundred nineteen thousand, six hundred eighty".