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1466030134206 = 2331117563257869
BaseRepresentation
bin10101010101010110001…
…101001001001110111110
312012011002011100011021000
4111111112031021032332
5143004412203243311
63041252425351130
7210626410350651
oct25252615111676
95164064304230
101466030134206
11515815878440
121b81626384a6
13a8327750bc1
1450d55cb3898
1528204e9e056
hex155563493be

1466030134206 has 128 divisors (see below), whose sum is σ = 3769770585600. Its totient is φ = 417374830080.

The previous prime is 1466030134199. The next prime is 1466030134213. The reversal of 1466030134206 is 6024310306641.

1466030134206 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 0 + 301 + 342 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1466030134199) and next prime (1466030134213).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5556240 + ... + 5814108.

It is an arithmetic number, because the mean of its divisors is an integer number (29451332700).

Almost surely, 21466030134206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466030134206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884885292800).

1466030134206 is an abundant number, since it is smaller than the sum of its proper divisors (2303740451394).

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

1466030134206 is a wasteful number, since it uses less digits than its factorization.

1466030134206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258471 (or 258465 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1466030134206 in words is "one trillion, four hundred sixty-six billion, thirty million, one hundred thirty-four thousand, two hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 563 594 918 1122 1126 1683 1689 3366 3378 5049 5067 6193 9571 10098 10134 12386 15201 18579 19142 28713 30402 37158 55737 57426 86139 105281 111474 167211 172278 210562 257869 258417 315843 334422 515738 516834 631686 773607 947529 1547214 1895058 2320821 2836559 2842587 4383773 4641642 5673118 5685174 6962463 8509677 8767546 13151319 13924926 17019354 25529031 26302638 39453957 48221503 51058062 76587093 78907914 96443006 118361871 144664509 145180247 153174186 236723742 289329018 290360494 433993527 435540741 867987054 871081482 1301980581 1306622223 1596982717 2468064199 2603961162 2613244446 3193965434 3919866669 4790948151 4936128398 7404192597 7839733338 9581896302 14372844453 14808385194 22212577791 27148706189 28745688906 43118533359 44425155582 54297412378 66637733373 81446118567 86237066718 133275466746 162892237134 244338355701 488676711402 733015067103 1466030134206