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17042051472 = 2431741593859
BaseRepresentation
bin11111101111100100…
…10001000110010000
31121222200121220200120
433313302101012100
5234400231121342
611455022150240
71142214022155
oct176762210620
947880556616
1017042051472
117255880566
123377422380
1317b7927934
14b7950822c
1569b231aec
hex3f7c91190

17042051472 has 160 divisors (see below), whose sum is σ = 47888184960. Its totient is φ = 5201264640.

The previous prime is 17042051461. The next prime is 17042051479. The reversal of 17042051472 is 27415024071.

17042051472 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 (17042051479) 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 31 ways as a sum of consecutive naturals, for example, 19838979 + ... + 19839837.

It is an arithmetic number, because the mean of its divisors is an integer number (299301156).

Almost surely, 217042051472 is an apocalyptic number.

17042051472 is a gapful number since it is divisible by the number (12) 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 17042051472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23944092480).

17042051472 is an abundant number, since it is smaller than the sum of its proper divisors (30846133488).

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

17042051472 is a wasteful number, since it uses less digits than its factorization.

17042051472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 17042051472 in words is "seventeen billion, forty-two million, fifty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 492 593 656 697 816 859 984 1186 1394 1718 1779 1968 2091 2372 2577 2788 3436 3558 4182 4744 5154 5576 6872 7116 8364 9488 10081 10308 11152 13744 14232 14603 16728 20162 20616 24313 28464 29206 30243 33456 35219 40324 41232 43809 48626 58412 60486 70438 72939 80648 87618 97252 105657 116824 120972 140876 145878 161296 175236 194504 211314 233648 241944 281752 291756 350472 389008 413321 422628 483888 509387 563504 583512 598723 700944 826642 845256 1018774 1167024 1197446 1239963 1528161 1653284 1690512 1796169 2037548 2394892 2479926 3056322 3306568 3592338 4075096 4789784 4959852 6112644 6613136 7184676 8150192 8659579 9579568 9919704 12225288 14369352 17319158 19839408 20884867 24450576 25978737 28738704 34638316 41769734 51957474 62654601 69276632 83539468 103914948 125309202 138553264 167078936 207829896 250618404 334157872 355042739 415659792 501236808 710085478 1002473616 1065128217 1420170956 2130256434 2840341912 4260512868 5680683824 8521025736 17042051472