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216662000401 = 7111719831031019
BaseRepresentation
bin1100100111001000001…
…1111100001100010001
3202201020112210000010101
43021302003330030101
512022210433003101
6243311054332401
721440041421440
oct3116203741421
9681215700111
10216662000401
1183982061770
1235ba77ba101
131757b29b602
14a6b4d38d57
155981133401
hex32720fc311

216662000401 has 128 divisors (see below), whose sum is σ = 307954483200. Its totient is φ = 147131458560.

The previous prime is 216662000339. The next prime is 216662000413. The reversal of 216662000401 is 104000266612.

216662000401 is a nontrivial binomial coefficient, being equal to C(658274, 2).

It is not a de Polignac number, because 216662000401 - 29 = 216661999889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 216662000401.

It is not an unprimeable number, because it can be changed into a prime (216662000201) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 212621670 + ... + 212622688.

It is an arithmetic number, because the mean of its divisors is an integer number (2405894400).

Almost surely, 2216662000401 is an apocalyptic number.

216662000401 is the 658273-rd triangular number and also the 329137-th hexagonal number.

216662000401 is the 219425-th centered nonagonal number.

It is an amenable number.

216662000401 is a deficient number, since it is larger than the sum of its proper divisors (91292482799).

216662000401 is a wasteful number, since it uses less digits than its factorization.

216662000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 216662000401 in words is "two hundred sixteen billion, six hundred sixty-two million, four hundred one", and thus it is an aban number.

Divisors: 1 7 11 17 19 77 83 103 119 133 187 209 323 581 721 913 1019 1133 1309 1411 1463 1577 1751 1957 2261 3553 6391 7133 7931 8549 9877 11039 11209 12257 13699 15521 17323 17347 19261 19361 21527 24871 26809 33269 59843 78463 84577 94039 104957 108647 121261 121429 134827 135527 145333 150689 162431 187663 190553 212971 232883 294899 329137 365959 592039 658273 734699 930347 1017331 1137017 1154527 1333871 1437809 1490797 1598663 1606963 1784269 1786741 1994183 2064293 2303959 2561713 2761327 3620507 6512429 8081689 8711431 10064663 11190641 11248741 12489883 12507187 13959281 15815899 17676593 19329289 19626959 21936013 25343549 27318371 30374597 33901111 60980017 95825741 110711293 123736151 137388713 148094327 153552091 165517189 191228597 212622179 237307777 300502081 372912221 670780187 1036660289 1158620323 1629037597 1820689079 2103514567 2610385547 2813792213 11403263179 12744823553 19696545491 30951714343 216662000401