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17032300068 = 22371729596971
BaseRepresentation
bin11111101110011010…
…00100011000100100
31121222000021111021110
433313031010120210
5234340232100233
611454033145020
71142035106340
oct176715043044
947860244243
1017032300068
117250320153
1233740bb170
1317b58c2284
14b780ca620
1569a457663
hex3f7344624

17032300068 has 192 divisors, whose sum is σ = 50599987200. Its totient is φ = 4346603520.

The previous prime is 17032300063. The next prime is 17032300123. The reversal of 17032300068 is 86000323071.

17032300068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (17032300063) 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 63 ways as a sum of consecutive naturals, for example, 2439823 + ... + 2446793.

It is an arithmetic number, because the mean of its divisors is an integer number (263541600).

Almost surely, 217032300068 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 17032300068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25299993600).

17032300068 is an abundant number, since it is smaller than the sum of its proper divisors (33567687132).

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

17032300068 is a wasteful number, since it uses less digits than its factorization.

17032300068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 17032300068 in words is "seventeen billion, thirty-two million, three hundred thousand, sixty-eight".