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17144305472 = 267314130109
BaseRepresentation
bin11111111011110000…
…10101011101000000
31122020211000221210202
433331320111131000
5240102420233342
611513113544332
71144565122610
oct177570253500
948224027722
1017144305472
1172a85714a8
1233a57150a8
131802b7a368
14b88d24a40
156a51ce332
hex3fde15740

17144305472 has 112 divisors (see below), whose sum is σ = 41115325440. Its totient is φ = 6936883200.

The previous prime is 17144305471. The next prime is 17144305481. The reversal of 17144305472 is 27450344171.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17144305471) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 554354 + ... + 584462.

It is an arithmetic number, because the mean of its divisors is an integer number (367101120).

Almost surely, 217144305472 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 17144305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557662720).

17144305472 is an abundant number, since it is smaller than the sum of its proper divisors (23971019968).

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

17144305472 is a wasteful number, since it uses less digits than its factorization.

17144305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30200 (or 30190 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 17144305472 in words is "seventeen billion, one hundred forty-four million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 164 217 224 248 287 328 434 448 496 574 656 868 992 1148 1271 1312 1736 1984 2296 2542 2624 3472 4592 5084 6944 8897 9184 10168 13888 17794 18368 20336 30109 35588 40672 60218 71176 81344 120436 142352 210763 240872 284704 421526 481744 569408 843052 933379 963488 1234469 1686104 1866758 1926976 2468938 3372208 3733516 4937876 6533653 6744416 7467032 8641283 9875752 13067306 13488832 14934064 17282566 19751504 26134612 29868128 34565132 38268539 39503008 52269224 59736256 69130264 76537078 79006016 104538448 138260528 153074156 209076896 267879773 276521056 306148312 418153792 535759546 553042112 612296624 1071519092 1224593248 2143038184 2449186496 4286076368 8572152736 17144305472