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99190949760 = 273357372599
BaseRepresentation
bin101110001100000111…
…1011100011110000000
3100111000210021022222000
41130120033130132000
53111120340343020
6113322342144000
710111021106310
oct1343017343600
9314023238860
1099190949760
1139080783741
1217282a22000
13947a00b3a6
144b2d81b440
1528a81c6090
hex17183dc780

99190949760 has 768 divisors, whose sum is σ = 413320320000. Its totient is φ = 22022627328.

The previous prime is 99190949731. The next prime is 99190949857. The reversal of 99190949760 is 6794909199.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 165593941 + ... + 165594539.

It is an arithmetic number, because the mean of its divisors is an integer number (538177500).

Almost surely, 299190949760 is an apocalyptic number.

99190949760 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 99190949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206660160000).

99190949760 is an abundant number, since it is smaller than the sum of its proper divisors (314129370240).

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

99190949760 is a wasteful number, since it uses less digits than its factorization.

99190949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The spelling of 99190949760 in words is "ninety-nine billion, one hundred ninety million, nine hundred forty-nine thousand, seven hundred sixty".