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17145292080 = 2435721457933
BaseRepresentation
bin11111111011111000…
…00110010100110000
31122020212220002011210
433331330012110300
5240103143321310
611513151040120
71144606402200
oct177574062460
948225802153
1017145292080
1172a9085784
1233a5b10040
131803134457
14b89100400
156a5326820
hex3fdf06530

17145292080 has 120 divisors (see below), whose sum is σ = 61828065072. Its totient is φ = 3918921216.

The previous prime is 17145292061. The next prime is 17145292091. The reversal of 17145292080 is 8029254171.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×171452920802 (a number of 21 digits) contains 22 as substring.

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, 717207 + ... + 740726.

Almost surely, 217145292080 is an apocalyptic number.

17145292080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17145292080 is an abundant number, since it is smaller than the sum of its proper divisors (44682772992).

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

17145292080 is a wasteful number, since it uses less digits than its factorization.

17145292080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457963 (or 1457950 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 17145292080 in words is "seventeen billion, one hundred forty-five million, two hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1457933 2915866 4373799 5831732 7289665 8747598 10205531 11663464 14579330 17495196 20411062 21868995 23326928 29158660 30616593 34990392 40822124 43737990 51027655 58317320 61233186 69980784 71438717 81644248 87475980 102055310 116634640 122466372 142877434 153082965 163288496 174951960 204110620 214316151 244932744 285754868 306165930 349903920 357193585 408221240 428632302 489865488 571509736 612331860 714387170 816442480 857264604 1071580755 1143019472 1224663720 1428774340 1714529208 2143161510 2449327440 2857548680 3429058416 4286323020 5715097360 8572646040 17145292080