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16986696160 = 255719242013
BaseRepresentation
bin11111101000111110…
…00110100111100000
31121211211110120110211
433310133012213200
5234242043234120
611445323503504
71140642351340
oct176437064740
947754416424
1016986696160
117227602275
123360987b94
1317a9315b05
14b72018d20
1569644a25a
hex3f47c69e0

16986696160 has 144 divisors (see below), whose sum is σ = 48406178016. Its totient is φ = 5517351936.

The previous prime is 16986696137. The next prime is 16986696173. The reversal of 16986696160 is 6169668961.

It is a junction number, because it is equal to n+sod(n) for n = 16986696095 and 16986696104.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 383314 + ... + 425326.

It is an arithmetic number, because the mean of its divisors is an integer number (336154014).

Almost surely, 216986696160 is an apocalyptic number.

16986696160 is a gapful number since it is divisible by the number (10) 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 16986696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203089008).

16986696160 is an abundant number, since it is smaller than the sum of its proper divisors (31419481856).

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

16986696160 is a wasteful number, since it uses less digits than its factorization.

16986696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42073 (or 42046 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 58.

The spelling of 16986696160 in words is "sixteen billion, nine hundred eighty-six million, six hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 361 380 532 560 608 665 722 760 1064 1120 1330 1444 1520 1805 2128 2527 2660 2888 3040 3610 4256 5054 5320 5776 7220 10108 10640 11552 12635 14440 20216 21280 25270 28880 40432 42013 50540 57760 80864 84026 101080 168052 202160 210065 294091 336104 404320 420130 588182 672208 798247 840260 1176364 1344416 1470455 1596494 1680520 2352728 2940910 3192988 3361040 3991235 4705456 5587729 5881820 6385976 6722080 7982470 9410912 11175458 11763640 12771952 15166693 15964940 22350916 23527280 25543904 27938645 30333386 31929880 44701832 47054560 55877290 60666772 63859760 75833465 89403664 106166851 111754580 121333544 127719520 151666930 178807328 212333702 223509160 242667088 303333860 424667404 447018320 485334176 530834255 606667720 849334808 894036640 1061668510 1213335440 1698669616 2123337020 2426670880 3397339232 4246674040 8493348080 16986696160