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17143981380 = 22325735692293
BaseRepresentation
bin11111111011101110…
…00110010101000100
31122020210102111020100
433331313012111010
5240102324401010
611513103004100
71144562303001
oct177567062504
948223374210
1017143981380
1172a836aa59
1233a5599630
131802a959a6
14b88c7c8a8
156a51682c0
hex3fddc6544

17143981380 has 144 divisors (see below), whose sum is σ = 52831462320. Its totient is φ = 4499214336.

The previous prime is 17143981343. The next prime is 17143981403. The reversal of 17143981380 is 8318934171.

17143981380 is a `hidden beast` number, since 171 + 4 + 398 + 13 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1789797636 + 15354183744 = 42306^2 + 123912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7475514 + ... + 7477806.

It is an arithmetic number, because the mean of its divisors is an integer number (366885155).

Almost surely, 217143981380 is an apocalyptic number.

17143981380 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 17143981380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26415731160).

17143981380 is an abundant number, since it is smaller than the sum of its proper divisors (35687480940).

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

17143981380 is a wasteful number, since it uses less digits than its factorization.

17143981380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 17143981380 in words is "seventeen billion, one hundred forty-three million, nine hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 569 657 730 876 1095 1138 1314 1460 1707 2190 2276 2293 2628 2845 3285 3414 4380 4586 5121 5690 6570 6828 6879 8535 9172 10242 11380 11465 13140 13758 17070 20484 20637 22930 25605 27516 34140 34395 41274 41537 45860 51210 68790 82548 83074 102420 103185 124611 137580 166148 167389 206370 207685 249222 334778 373833 412740 415370 498444 502167 623055 669556 747666 830740 836945 1004334 1246110 1304717 1495332 1506501 1673890 1869165 2008668 2492220 2510835 2609434 3013002 3347780 3738330 3914151 5021670 5218868 6026004 6523585 7476660 7532505 7828302 10043340 11742453 13047170 15065010 15656604 19570755 23484906 26094340 30130020 39141510 46969812 58712265 78283020 95244341 117424530 190488682 234849060 285733023 380977364 476221705 571466046 857199069 952443410 1142932092 1428665115 1714398138 1904886820 2857330230 3428796276 4285995345 5714660460 8571990690 17143981380