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17064742688 = 257195776949
BaseRepresentation
bin11111110010010001…
…10100111100100000
31122001021022202011222
433321020310330200
5234422033231223
611501152354212
71142610630260
oct177110647440
948037282158
1017064742688
117267669834
123382b45968
1317bc540ca6
14b7c5337a0
1569d2150c8
hex3f9234f20

17064742688 has 96 divisors (see below), whose sum is σ = 40492368000. Its totient is φ = 6915538944.

The previous prime is 17064742649. The next prime is 17064742697. The reversal of 17064742688 is 88624746071.

17064742688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 2452238 + ... + 2459186.

It is an arithmetic number, because the mean of its divisors is an integer number (421795500).

Almost surely, 217064742688 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 17064742688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246184000).

17064742688 is an abundant number, since it is smaller than the sum of its proper divisors (23427625312).

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

17064742688 is a wasteful number, since it uses less digits than its factorization.

17064742688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 17064742688 in words is "seventeen billion, sixty-four million, seven hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 577 608 1064 1154 2128 2308 4039 4256 4616 6949 8078 9232 10963 13898 16156 18464 21926 27796 32312 43852 48643 55592 64624 76741 87704 97286 111184 129248 132031 153482 175408 194572 222368 264062 306964 350816 389144 528124 613928 778288 924217 1056248 1227856 1556576 1848434 2112496 2455712 3696868 4009573 4224992 7393736 8019146 14787472 16038292 28067011 29574944 32076584 56134022 64153168 76181887 112268044 128306336 152363774 224536088 304727548 449072176 533273209 609455096 898144352 1066546418 1218910192 2133092836 2437820384 4266185672 8532371344 17064742688