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57041341967862 = 23372929631756177
BaseRepresentation
bin11001111100000111110001…
…11011001110110111110110
321110222002200012022210212000
430332003320323032313312
524434031132020432422
6321152233012440130
715005046425545020
oct1476037073166766
9243862605283760
1057041341967862
11171a210852681a
126492bb2019046
1325a9c8b141285
141012b5c335010
1568db99a75cac
hex33e0f8ecedf6

57041341967862 has 128 divisors (see below), whose sum is σ = 149912973849600. Its totient is φ = 15730222975488.

The previous prime is 57041341967849. The next prime is 57041341967873. The reversal of 57041341967862 is 26876914314075.

57041341967862 is a `hidden beast` number, since 5 + 7 + 0 + 413 + 4 + 1 + 96 + 78 + 62 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 57041341967862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31602318 + ... + 33358494.

It is an arithmetic number, because the mean of its divisors is an integer number (1171195108200).

It is a 3-persistent number, because k⋅57041341967862 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 257041341967862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57041341967862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74956486924800).

57041341967862 is an abundant number, since it is smaller than the sum of its proper divisors (92871631881738).

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

57041341967862 is a wasteful number, since it uses less digits than its factorization.

57041341967862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759187 (or 1759181 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 57041341967862 in words is "fifty-seven trillion, forty-one billion, three hundred forty-one million, nine hundred sixty-seven thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 2963 3654 5481 5926 8889 10962 17778 20741 26667 41482 53334 62223 80001 85927 124446 160002 171854 186669 257781 373338 515562 560007 601489 773343 1120014 1202978 1546686 1756177 1804467 2320029 3512354 3608934 4640058 5268531 5413401 10537062 10826802 12293239 15805593 16240203 24586478 31611186 32480406 36879717 47416779 50929133 73759434 94833558 101858266 110639151 152787399 221278302 305574798 331917453 356503931 458362197 663834906 713007862 916724394 1069511793 1375086591 2139023586 2750173182 3208535379 5203552451 6417070758 9625606137 10407104902 15610657353 19251212274 31221314706 36424867157 46831972059 72849734314 93663944118 109274601471 140495916177 150903021079 218549202942 280991832354 301806042158 327823804413 452709063237 655647608826 905418126474 983471413239 1056321147553 1358127189711 1966942826478 2112642295106 2716254379422 3168963442659 4074381569133 6337926885318 8148763138266 9506890327977 19013780655954 28520670983931 57041341967862