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17145009420 = 223571131592029
BaseRepresentation
bin11111111011110110…
…00001010100001100
31122020212100201102220
433331323001110030
5240103110300140
611513141015340
71144604114130
oct177573012414
948225321386
1017145009420
1172a8a02380
1233a59b4550
1318030658b6
14b890693c0
156a52bcbd0
hex3fdec150c

17145009420 has 384 divisors, whose sum is σ = 62860492800. Its totient is φ = 3387571200.

The previous prime is 17145009419. The next prime is 17145009433. The reversal of 17145009420 is 2490054171.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8448966 + ... + 8450994.

It is an arithmetic number, because the mean of its divisors is an integer number (163699200).

Almost surely, 217145009420 is an apocalyptic number.

17145009420 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 17145009420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31430246400).

17145009420 is an abundant number, since it is smaller than the sum of its proper divisors (45715483380).

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

17145009420 is a wasteful number, since it uses less digits than its factorization.

17145009420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 17145009420 in words is "seventeen billion, one hundred forty-five million, nine thousand, four hundred twenty".