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103843494216 = 233273112193159
BaseRepresentation
bin110000010110110001…
…1011111100101001000
3100221001000212002010100
41200231203133211020
53200132413303331
6115412142245400
710334224065000
oct1405543374510
9327030762110
10103843494216
1140048a44200
1218160b86860
139a3bb94c87
1450516b5000
152a7b897ae6
hex182d8df948

103843494216 has 1152 divisors, whose sum is σ = 398361600000. Its totient is φ = 24309331200.

The previous prime is 103843494203. The next prime is 103843494301. The reversal of 103843494216 is 612494348301.

103843494216 is a `hidden beast` number, since 10 + 3 + 84 + 349 + 4 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1760059195 + ... + 1760059253.

It is an arithmetic number, because the mean of its divisors is an integer number (345800000).

Almost surely, 2103843494216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103843494216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800000).

103843494216 is an abundant number, since it is smaller than the sum of its proper divisors (294518105784).

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

103843494216 is a wasteful number, since it uses less digits than its factorization.

103843494216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 103843494216 in words is "one hundred three billion, eight hundred forty-three million, four hundred ninety-four thousand, two hundred sixteen".