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166416031430330 = 251121731033769597
BaseRepresentation
bin100101110101101011000000…
…011100000011011010111010
3210211020012212100210000020212
4211311223000130003122322
5133303030013021232310
61345534245221351122
750024106252460133
oct4565530034033272
9724205770700225
10166416031430330
1149030708315a00
12167b86602684a2
1371b1c6cb017b6
142d148166d0c8a
151438ce2357205
hex975ac07036ba

166416031430330 has 96 divisors (see below), whose sum is σ = 331480407080592. Its totient is φ = 60106802088960.

The previous prime is 166416031430323. The next prime is 166416031430333. The reversal of 166416031430330 is 33034130614661.

It can be written as a sum of positive squares in 8 ways, for example, as 108158731203721 + 58257300226609 = 10399939^2 + 7632647^2 .

It is a super-3 number, since 3×1664160314303303 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (166416031430333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215853092 + ... + 216622688.

Almost surely, 2166416031430330 is an apocalyptic number.

166416031430330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166416031430330 is a deficient number, since it is larger than the sum of its proper divisors (165064375650262).

166416031430330 is a wasteful number, since it uses less digits than its factorization.

166416031430330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770832 (or 770821 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 166416031430330 in words is "one hundred sixty-six trillion, four hundred sixteen billion, thirty-one million, four hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 55 110 121 173 242 346 605 865 1033 1210 1730 1903 2066 3806 5165 9515 10330 11363 19030 20933 22726 41866 56815 104665 113630 124993 178709 209330 249986 357418 624965 769597 893545 1249930 1539194 1787090 1965799 3847985 3931598 7695970 8465567 9828995 16931134 19657990 21623789 42327835 43247578 84655670 93121237 108118945 133140281 186242474 216237890 266280562 465606185 665701405 794993701 931212370 1331402810 1464543091 1589987402 2929086182 3974968505 7322715455 7949937010 8744930711 14645430910 16109974001 17489861422 32219948002 43724653555 80549870005 87449307110 96194237821 137533910273 161099740010 192388475642 275067820546 480971189105 687669551365 961942378210 1375339102730 1512873013003 3025746026006 7564365065015 15128730130030 16641603143033 33283206286066 83208015715165 166416031430330