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17042229248 = 211114118451
BaseRepresentation
bin11111101111100101…
…11100100000000000
31121222200221221112212
433313302330200000
5234400302313443
611455030041252
71142215362362
oct176762744000
947880857485
1017042229248
117255992090
1233774a9228
1317b798a825
14b79552d32
1569b269618
hex3f7cbc800

17042229248 has 96 divisors (see below), whose sum is σ = 38082713760. Its totient is φ = 7557120000.

The previous prime is 17042229223. The next prime is 17042229263. The reversal of 17042229248 is 84292224071.

17042229248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 914423 + ... + 932873.

It is an arithmetic number, because the mean of its divisors is an integer number (396694935).

Almost surely, 217042229248 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 17042229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19041356880).

17042229248 is an abundant number, since it is smaller than the sum of its proper divisors (21040484512).

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

17042229248 is a wasteful number, since it uses less digits than its factorization.

17042229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18525 (or 18505 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 17042229248 in words is "seventeen billion, forty-two million, two hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 512 656 704 902 1024 1312 1408 1804 2048 2624 2816 3608 5248 5632 7216 10496 11264 14432 18451 20992 22528 28864 36902 41984 57728 73804 83968 115456 147608 202961 230912 295216 405922 461824 590432 756491 811844 923648 1180864 1512982 1623688 2361728 3025964 3247376 4723456 6051928 6494752 8321401 9446912 12103856 12989504 16642802 18893824 24207712 25979008 33285604 37787648 48415424 51958016 66571208 96830848 103916032 133142416 193661696 207832064 266284832 387323392 415664128 532569664 774646784 1065139328 1549293568 2130278656 4260557312 8521114624 17042229248