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146466343664641 = 71121377317208047
BaseRepresentation
bin100001010011010111011010…
…011000101011110000000001
3201012121001020022122211011201
4201103113122120223300001
5123144201032434232031
61235301413121141201
742564562351404130
oct4123273230536001
9635531208584151
10146466343664641
114273a0336a1200
12145161aa18a801
136395942180110
14282501a43d917
1511dedd448ed61
hex8535da62bc01

146466343664641 has 48 divisors (see below), whose sum is σ = 198400258248192. Its totient is φ = 105214123175040.

The previous prime is 146466343664629. The next prime is 146466343664677.

146466343664641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146466343664641 - 211 = 146466343662593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146466343664611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92521 + ... + 17115526.

It is an arithmetic number, because the mean of its divisors is an integer number (4133338713504).

Almost surely, 2146466343664641 is an apocalyptic number.

146466343664641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146466343664641 is a deficient number, since it is larger than the sum of its proper divisors (51933914583551).

146466343664641 is a wasteful number, since it uses less digits than its factorization.

146466343664641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208862 (or 17208851 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 64.

The spelling of 146466343664641 in words is "one hundred forty-six trillion, four hundred sixty-six billion, three hundred forty-three million, six hundred sixty-four thousand, six hundred forty-one".

Divisors: 1 7 11 13 77 91 121 143 773 847 1001 1573 5411 8503 10049 11011 59521 70343 93533 110539 654731 773773 1215929 8511503 17208047 120456329 189288517 223704611 1325019619 1565932277 2082173687 2460750721 13301820331 14575215809 17225255047 27068257931 93112742317 146320023641 172923664303 189477805517 1024240165487 1210465650121 1609520260051 1902160307333 11266641820357 13315122151331 20923763380663 146466343664641