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17057213040 = 2435729350107
BaseRepresentation
bin11111110001011000…
…00110101001110000
31122000202011012110010
433320230012221300
5234413121304130
611500323134520
71142456630040
oct177054065160
948022135403
1017057213040
11726339668a
123380514440
1317bab0598a
14b7b533720
1569c7290b0
hex3f8b06a70

17057213040 has 160 divisors (see below), whose sum is σ = 62515284480. Its totient is φ = 3764339712.

The previous prime is 17057213003. The next prime is 17057213051. The reversal of 17057213040 is 4031275071.

17057213040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 17057212989 and 17057213007.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 126334 + ... + 223773.

It is an arithmetic number, because the mean of its divisors is an integer number (390720528).

Almost surely, 217057213040 is an apocalyptic number.

17057213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17057213040 is an abundant number, since it is smaller than the sum of its proper divisors (45458071440).

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

17057213040 is a wasteful number, since it uses less digits than its factorization.

17057213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350159 (or 350153 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 17057213040 in words is "seventeen billion, fifty-seven million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 350107 700214 1050321 1400428 1750535 2100642 2450749 2800856 3501070 4201284 4901498 5251605 5601712 7002140 7352247 8402568 9802996 10153103 10503210 12253745 14004280 14704494 16805136 19605992 20306206 21006420 24507490 28008560 29408988 30459309 36761235 39211984 40612412 42012840 49014980 50765515 58817976 60918618 71071721 73522470 81224824 84025680 98029960 101531030 117635952 121837236 142143442 147044940 152296545 162449648 196059920 203062060 213215163 243674472 284286884 294089880 304593090 355358605 406124120 426430326 487348944 568573768 588179760 609186180 710717210 812248240 852860652 1066075815 1137147536 1218372360 1421434420 1705721304 2132151630 2436744720 2842868840 3411442608 4264303260 5685737680 8528606520 17057213040