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17123935920 = 243572131011109
BaseRepresentation
bin11111111001010101…
…01000011010110000
31122012101201002000220
433330222220122300
5240032211422140
611511105213040
71144230024300
oct177452503260
948171632026
1017123935920
117298019563
12339a931180
1317cb897980
14b86341600
156a3508bd0
hex3fcaa86b0

17123935920 has 480 divisors, whose sum is σ = 67220072640. Its totient is φ = 3573964800.

The previous prime is 17123935903. The next prime is 17123935949. The reversal of 17123935920 is 2953932171.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15440326 + ... + 15441434.

It is an arithmetic number, because the mean of its divisors is an integer number (140041818).

Almost surely, 217123935920 is an apocalyptic number.

17123935920 is a gapful number since it is divisible by the number (10) 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 17123935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33610036320).

17123935920 is an abundant number, since it is smaller than the sum of its proper divisors (50096136720).

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

17123935920 is a wasteful number, since it uses less digits than its factorization.

17123935920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 17123935920 in words is "seventeen billion, one hundred twenty-three million, nine hundred thirty-five thousand, nine hundred twenty".