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17993345648 = 2419232938783
BaseRepresentation
bin10000110000011111…
…001010101001110000
31201102222122122222012
4100300133022221300
5243322244030043
612133243502052
71204614625445
oct206037125160
951388578865
1017993345648
1176a38579a3
1235a1b27928
131909a407b5
14c299b79cc
157049e1a18
hex4307caa70

17993345648 has 80 divisors (see below), whose sum is σ = 38427540480. Its totient is φ = 8123841792.

The previous prime is 17993345621. The next prime is 17993345659. The reversal of 17993345648 is 84654339971.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044265 + ... + 2053047.

It is an arithmetic number, because the mean of its divisors is an integer number (480344256).

Almost surely, 217993345648 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 17993345648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213770240).

17993345648 is an abundant number, since it is smaller than the sum of its proper divisors (20434194832).

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

17993345648 is a wasteful number, since it uses less digits than its factorization.

17993345648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9120 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 59.

The spelling of 17993345648 in words is "seventeen billion, nine hundred ninety-three million, three hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 293 304 368 437 586 874 1172 1748 2344 3496 4688 5567 6739 6992 8783 11134 13478 17566 22268 26956 35132 44536 53912 70264 89072 107824 128041 140528 166877 202009 256082 333754 404018 512164 667508 808036 1024328 1335016 1616072 2048656 2573419 2670032 3232144 3838171 5146838 7676342 10293676 15352684 20587352 30705368 41174704 48894961 59188637 61410736 97789922 118377274 195579844 236754548 391159688 473509096 782319376 947018192 1124584103 2249168206 4498336412 8996672824 17993345648